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Finding the Third Proportional to 377,474 and 571,706

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Solution

The third proportional to 377,474 and 571,706 is: 865,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,474 : 571,706 = 571,706 : x
  2. Step 2: Convert to fraction form
    377,474/571,706 = 571,706/x
  3. Step 3: Cross multiply
    377,474x = 571,706 × 571,706
  4. Step 4: Simplify right side
    377,474x = 326,847,750,436
  5. Step 5: Solve for x
    x = 326,847,750,436/377,474
  6. Step 6: Final answer
    x = 865,881.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.