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Finding the Third Proportional to 460,742 and 687,559

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Solution

The third proportional to 460,742 and 687,559 is: 1,026,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,742 : 687,559 = 687,559 : x
  2. Step 2: Convert to fraction form
    460,742/687,559 = 687,559/x
  3. Step 3: Cross multiply
    460,742x = 687,559 × 687,559
  4. Step 4: Simplify right side
    460,742x = 472,737,378,481
  5. Step 5: Solve for x
    x = 472,737,378,481/460,742
  6. Step 6: Final answer
    x = 1,026,034.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.