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Finding the Third Proportional to 322,479 and 508,464

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Solution

The third proportional to 322,479 and 508,464 is: 801,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,479 : 508,464 = 508,464 : x
  2. Step 2: Convert to fraction form
    322,479/508,464 = 508,464/x
  3. Step 3: Cross multiply
    322,479x = 508,464 × 508,464
  4. Step 4: Simplify right side
    322,479x = 258,535,639,296
  5. Step 5: Solve for x
    x = 258,535,639,296/322,479
  6. Step 6: Final answer
    x = 801,713.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.