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Finding the Third Proportional to 417,260 and 566,806

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Solution

The third proportional to 417,260 and 566,806 is: 769,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,260 : 566,806 = 566,806 : x
  2. Step 2: Convert to fraction form
    417,260/566,806 = 566,806/x
  3. Step 3: Cross multiply
    417,260x = 566,806 × 566,806
  4. Step 4: Simplify right side
    417,260x = 321,269,041,636
  5. Step 5: Solve for x
    x = 321,269,041,636/417,260
  6. Step 6: Final answer
    x = 769,949.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.