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Finding the Third Proportional to 323,597 and 506,523

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Solution

The third proportional to 323,597 and 506,523 is: 792,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,597 : 506,523 = 506,523 : x
  2. Step 2: Convert to fraction form
    323,597/506,523 = 506,523/x
  3. Step 3: Cross multiply
    323,597x = 506,523 × 506,523
  4. Step 4: Simplify right side
    323,597x = 256,565,549,529
  5. Step 5: Solve for x
    x = 256,565,549,529/323,597
  6. Step 6: Final answer
    x = 792,855.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.