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Finding the Third Proportional to 329,416 and 447,464

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Solution

The third proportional to 329,416 and 447,464 is: 607,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,416 : 447,464 = 447,464 : x
  2. Step 2: Convert to fraction form
    329,416/447,464 = 447,464/x
  3. Step 3: Cross multiply
    329,416x = 447,464 × 447,464
  4. Step 4: Simplify right side
    329,416x = 200,224,031,296
  5. Step 5: Solve for x
    x = 200,224,031,296/329,416
  6. Step 6: Final answer
    x = 607,815.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.