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Finding the Third Proportional to 374,706 and 571,374

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Solution

The third proportional to 374,706 and 571,374 is: 871,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,706 : 571,374 = 571,374 : x
  2. Step 2: Convert to fraction form
    374,706/571,374 = 571,374/x
  3. Step 3: Cross multiply
    374,706x = 571,374 × 571,374
  4. Step 4: Simplify right side
    374,706x = 326,468,247,876
  5. Step 5: Solve for x
    x = 326,468,247,876/374,706
  6. Step 6: Final answer
    x = 871,265.07

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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.