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Finding the Third Proportional to 475,740 and 652,374

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Solution

The third proportional to 475,740 and 652,374 is: 894,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,740 : 652,374 = 652,374 : x
  2. Step 2: Convert to fraction form
    475,740/652,374 = 652,374/x
  3. Step 3: Cross multiply
    475,740x = 652,374 × 652,374
  4. Step 4: Simplify right side
    475,740x = 425,591,835,876
  5. Step 5: Solve for x
    x = 425,591,835,876/475,740
  6. Step 6: Final answer
    x = 894,589.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.