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Finding the Third Proportional to 522,986 and 736,479

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Solution

The third proportional to 522,986 and 736,479 is: 1,037,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,986 : 736,479 = 736,479 : x
  2. Step 2: Convert to fraction form
    522,986/736,479 = 736,479/x
  3. Step 3: Cross multiply
    522,986x = 736,479 × 736,479
  4. Step 4: Simplify right side
    522,986x = 542,401,317,441
  5. Step 5: Solve for x
    x = 542,401,317,441/522,986
  6. Step 6: Final answer
    x = 1,037,123.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.