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Finding the Third Proportional to 273,271,956.75 and 590,088,539.25

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Solution

The third proportional to 273,271,956.75 and 590,088,539.25 is: 1,274,204,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,271,956.75 : 590,088,539.25 = 590,088,539.25 : x
  2. Step 2: Convert to fraction form
    273,271,956.75/590,088,539.25 = 590,088,539.25/x
  3. Step 3: Cross multiply
    273,271,956.75x = 590,088,539.25 × 590,088,539.25
  4. Step 4: Simplify right side
    273,271,956.75x = 348,204,484,154,198,784
  5. Step 5: Solve for x
    x = 348,204,484,154,198,784/273,271,956.75
  6. Step 6: Final answer
    x = 1,274,204,965.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.