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Finding the Third Proportional to 415,930 and 643,756

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Solution

The third proportional to 415,930 and 643,756 is: 996,373.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,930 : 643,756 = 643,756 : x
  2. Step 2: Convert to fraction form
    415,930/643,756 = 643,756/x
  3. Step 3: Cross multiply
    415,930x = 643,756 × 643,756
  4. Step 4: Simplify right side
    415,930x = 414,421,787,536
  5. Step 5: Solve for x
    x = 414,421,787,536/415,930
  6. Step 6: Final answer
    x = 996,373.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.