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Finding the Third Proportional to 475,290 and 691,533

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Solution

The third proportional to 475,290 and 691,533 is: 1,006,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,290 : 691,533 = 691,533 : x
  2. Step 2: Convert to fraction form
    475,290/691,533 = 691,533/x
  3. Step 3: Cross multiply
    475,290x = 691,533 × 691,533
  4. Step 4: Simplify right side
    475,290x = 478,217,890,089
  5. Step 5: Solve for x
    x = 478,217,890,089/475,290
  6. Step 6: Final answer
    x = 1,006,160.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.