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Finding the Third Proportional to 425,217 and 652,467

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Solution

The third proportional to 425,217 and 652,467 is: 1,001,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,217 : 652,467 = 652,467 : x
  2. Step 2: Convert to fraction form
    425,217/652,467 = 652,467/x
  3. Step 3: Cross multiply
    425,217x = 652,467 × 652,467
  4. Step 4: Simplify right side
    425,217x = 425,713,186,089
  5. Step 5: Solve for x
    x = 425,713,186,089/425,217
  6. Step 6: Final answer
    x = 1,001,166.90

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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.