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Finding the Third Proportional to 323,762 and 491,475

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Solution

The third proportional to 323,762 and 491,475 is: 746,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,762 : 491,475 = 491,475 : x
  2. Step 2: Convert to fraction form
    323,762/491,475 = 491,475/x
  3. Step 3: Cross multiply
    323,762x = 491,475 × 491,475
  4. Step 4: Simplify right side
    323,762x = 241,547,675,625
  5. Step 5: Solve for x
    x = 241,547,675,625/323,762
  6. Step 6: Final answer
    x = 746,065.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.