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Finding the Third Proportional to 392,304,260 and 832,428,040

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Solution

The third proportional to 392,304,260 and 832,428,040 is: 1,766,324,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,304,260 : 832,428,040 = 832,428,040 : x
  2. Step 2: Convert to fraction form
    392,304,260/832,428,040 = 832,428,040/x
  3. Step 3: Cross multiply
    392,304,260x = 832,428,040 × 832,428,040
  4. Step 4: Simplify right side
    392,304,260x = 692,936,441,778,241,536
  5. Step 5: Solve for x
    x = 692,936,441,778,241,536/392,304,260
  6. Step 6: Final answer
    x = 1,766,324,030.69

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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.