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Finding the Third Proportional to 392,304,254 and 832,428,028

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Solution

The third proportional to 392,304,254 and 832,428,028 is: 1,766,324,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,304,254 : 832,428,028 = 832,428,028 : x
  2. Step 2: Convert to fraction form
    392,304,254/832,428,028 = 832,428,028/x
  3. Step 3: Cross multiply
    392,304,254x = 832,428,028 × 832,428,028
  4. Step 4: Simplify right side
    392,304,254x = 692,936,421,799,968,768
  5. Step 5: Solve for x
    x = 692,936,421,799,968,768/392,304,254
  6. Step 6: Final answer
    x = 1,766,324,006.77

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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.