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Finding the Third Proportional to 588,677.50 and 1,271,463.50

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Solution

The third proportional to 588,677.50 and 1,271,463.50 is: 2,746,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,677.50 : 1,271,463.50 = 1,271,463.50 : x
  2. Step 2: Convert to fraction form
    588,677.50/1,271,463.50 = 1,271,463.50/x
  3. Step 3: Cross multiply
    588,677.50x = 1,271,463.50 × 1,271,463.50
  4. Step 4: Simplify right side
    588,677.50x = 1,616,619,431,832.25
  5. Step 5: Solve for x
    x = 1,616,619,431,832.25/588,677.50
  6. Step 6: Final answer
    x = 2,746,188.59

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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.