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Finding the Third Proportional to 374,685 and 571,413

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Solution

The third proportional to 374,685 and 571,413 is: 871,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,685 : 571,413 = 571,413 : x
  2. Step 2: Convert to fraction form
    374,685/571,413 = 571,413/x
  3. Step 3: Cross multiply
    374,685x = 571,413 × 571,413
  4. Step 4: Simplify right side
    374,685x = 326,512,816,569
  5. Step 5: Solve for x
    x = 326,512,816,569/374,685
  6. Step 6: Final answer
    x = 871,432.85

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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.