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Finding the Third Proportional to 424,909 and 652,219.50

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Solution

The third proportional to 424,909 and 652,219.50 is: 1,001,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,909 : 652,219.50 = 652,219.50 : x
  2. Step 2: Convert to fraction form
    424,909/652,219.50 = 652,219.50/x
  3. Step 3: Cross multiply
    424,909x = 652,219.50 × 652,219.50
  4. Step 4: Simplify right side
    424,909x = 425,390,276,180.25
  5. Step 5: Solve for x
    x = 425,390,276,180.25/424,909
  6. Step 6: Final answer
    x = 1,001,132.66

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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.