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Finding the Third Proportional to 398,865,932 and 612,706,908

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Solution

The third proportional to 398,865,932 and 612,706,908 is: 941,192,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,865,932 : 612,706,908 = 612,706,908 : x
  2. Step 2: Convert to fraction form
    398,865,932/612,706,908 = 612,706,908/x
  3. Step 3: Cross multiply
    398,865,932x = 612,706,908 × 612,706,908
  4. Step 4: Simplify right side
    398,865,932x = 375,409,755,110,920,448
  5. Step 5: Solve for x
    x = 375,409,755,110,920,448/398,865,932
  6. Step 6: Final answer
    x = 941,192,829.45

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.