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Finding the Third Proportional to 424,606 and 662,748

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Solution

The third proportional to 424,606 and 662,748 is: 1,034,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,606 : 662,748 = 662,748 : x
  2. Step 2: Convert to fraction form
    424,606/662,748 = 662,748/x
  3. Step 3: Cross multiply
    424,606x = 662,748 × 662,748
  4. Step 4: Simplify right side
    424,606x = 439,234,911,504
  5. Step 5: Solve for x
    x = 439,234,911,504/424,606
  6. Step 6: Final answer
    x = 1,034,452.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.