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Finding the Third Proportional to 374,687 and 571,416

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Solution

The third proportional to 374,687 and 571,416 is: 871,437.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,687 : 571,416 = 571,416 : x
  2. Step 2: Convert to fraction form
    374,687/571,416 = 571,416/x
  3. Step 3: Cross multiply
    374,687x = 571,416 × 571,416
  4. Step 4: Simplify right side
    374,687x = 326,516,245,056
  5. Step 5: Solve for x
    x = 326,516,245,056/374,687
  6. Step 6: Final answer
    x = 871,437.35

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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.