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Finding the Third Proportional to 417,841 and 645,930

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Solution

The third proportional to 417,841 and 645,930 is: 998,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,841 : 645,930 = 645,930 : x
  2. Step 2: Convert to fraction form
    417,841/645,930 = 645,930/x
  3. Step 3: Cross multiply
    417,841x = 645,930 × 645,930
  4. Step 4: Simplify right side
    417,841x = 417,225,564,900
  5. Step 5: Solve for x
    x = 417,225,564,900/417,841
  6. Step 6: Final answer
    x = 998,527.11

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Why These Related Problems?

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