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Finding the Third Proportional to 342,416 and 454,464

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Solution

The third proportional to 342,416 and 454,464 is: 603,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,416 : 454,464 = 454,464 : x
  2. Step 2: Convert to fraction form
    342,416/454,464 = 454,464/x
  3. Step 3: Cross multiply
    342,416x = 454,464 × 454,464
  4. Step 4: Simplify right side
    342,416x = 206,537,527,296
  5. Step 5: Solve for x
    x = 206,537,527,296/342,416
  6. Step 6: Final answer
    x = 603,177.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.