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Finding the Third Proportional to 424,620 and 651,672

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Solution

The third proportional to 424,620 and 651,672 is: 1,000,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,620 : 651,672 = 651,672 : x
  2. Step 2: Convert to fraction form
    424,620/651,672 = 651,672/x
  3. Step 3: Cross multiply
    424,620x = 651,672 × 651,672
  4. Step 4: Simplify right side
    424,620x = 424,676,395,584
  5. Step 5: Solve for x
    x = 424,676,395,584/424,620
  6. Step 6: Final answer
    x = 1,000,132.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.