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Finding the Third Proportional to 417,862 and 637,180

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Solution

The third proportional to 417,862 and 637,180 is: 971,608.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,862 : 637,180 = 637,180 : x
  2. Step 2: Convert to fraction form
    417,862/637,180 = 637,180/x
  3. Step 3: Cross multiply
    417,862x = 637,180 × 637,180
  4. Step 4: Simplify right side
    417,862x = 405,998,352,400
  5. Step 5: Solve for x
    x = 405,998,352,400/417,862
  6. Step 6: Final answer
    x = 971,608.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.