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Finding the Third Proportional to 321,572 and 472,523

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Solution

The third proportional to 321,572 and 472,523 is: 694,332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,572 : 472,523 = 472,523 : x
  2. Step 2: Convert to fraction form
    321,572/472,523 = 472,523/x
  3. Step 3: Cross multiply
    321,572x = 472,523 × 472,523
  4. Step 4: Simplify right side
    321,572x = 223,277,985,529
  5. Step 5: Solve for x
    x = 223,277,985,529/321,572
  6. Step 6: Final answer
    x = 694,332.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.