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Finding the Third Proportional to 467,140 and 712,374

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Solution

The third proportional to 467,140 and 712,374 is: 1,086,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,140 : 712,374 = 712,374 : x
  2. Step 2: Convert to fraction form
    467,140/712,374 = 712,374/x
  3. Step 3: Cross multiply
    467,140x = 712,374 × 712,374
  4. Step 4: Simplify right side
    467,140x = 507,476,715,876
  5. Step 5: Solve for x
    x = 507,476,715,876/467,140
  6. Step 6: Final answer
    x = 1,086,348.24

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Why These Related Problems?

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