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Finding the Third Proportional to 273,271,976 and 590,088,576

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Solution

The third proportional to 273,271,976 and 590,088,576 is: 1,274,205,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,271,976 : 590,088,576 = 590,088,576 : x
  2. Step 2: Convert to fraction form
    273,271,976/590,088,576 = 590,088,576/x
  3. Step 3: Cross multiply
    273,271,976x = 590,088,576 × 590,088,576
  4. Step 4: Simplify right side
    273,271,976x = 348,204,527,525,707,776
  5. Step 5: Solve for x
    x = 348,204,527,525,707,776/273,271,976
  6. Step 6: Final answer
    x = 1,274,205,034.20

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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.