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Finding the Third Proportional to 342,464 and 454,536

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Solution

The third proportional to 342,464 and 454,536 is: 603,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,464 : 454,536 = 454,536 : x
  2. Step 2: Convert to fraction form
    342,464/454,536 = 454,536/x
  3. Step 3: Cross multiply
    342,464x = 454,536 × 454,536
  4. Step 4: Simplify right side
    342,464x = 206,602,975,296
  5. Step 5: Solve for x
    x = 206,602,975,296/342,464
  6. Step 6: Final answer
    x = 603,283.78

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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.