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Finding the Third Proportional to 522,992 and 736,488

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Solution

The third proportional to 522,992 and 736,488 is: 1,037,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,992 : 736,488 = 736,488 : x
  2. Step 2: Convert to fraction form
    522,992/736,488 = 736,488/x
  3. Step 3: Cross multiply
    522,992x = 736,488 × 736,488
  4. Step 4: Simplify right side
    522,992x = 542,414,574,144
  5. Step 5: Solve for x
    x = 542,414,574,144/522,992
  6. Step 6: Final answer
    x = 1,037,137.42

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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.