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Finding the Third Proportional to 392,304,252 and 832,428,024

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Solution

The third proportional to 392,304,252 and 832,428,024 is: 1,766,323,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,304,252 : 832,428,024 = 832,428,024 : x
  2. Step 2: Convert to fraction form
    392,304,252/832,428,024 = 832,428,024/x
  3. Step 3: Cross multiply
    392,304,252x = 832,428,024 × 832,428,024
  4. Step 4: Simplify right side
    392,304,252x = 692,936,415,140,544,512
  5. Step 5: Solve for x
    x = 692,936,415,140,544,512/392,304,252
  6. Step 6: Final answer
    x = 1,766,323,998.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.