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Finding the Third Proportional to 392,304,258 and 832,428,036

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Solution

The third proportional to 392,304,258 and 832,428,036 is: 1,766,324,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,304,258 : 832,428,036 = 832,428,036 : x
  2. Step 2: Convert to fraction form
    392,304,258/832,428,036 = 832,428,036/x
  3. Step 3: Cross multiply
    392,304,258x = 832,428,036 × 832,428,036
  4. Step 4: Simplify right side
    392,304,258x = 692,936,435,118,817,280
  5. Step 5: Solve for x
    x = 692,936,435,118,817,280/392,304,258
  6. Step 6: Final answer
    x = 1,766,324,022.72

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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.