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Finding the Third Proportional to 377,584 and 571,861

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Solution

The third proportional to 377,584 and 571,861 is: 866,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,584 : 571,861 = 571,861 : x
  2. Step 2: Convert to fraction form
    377,584/571,861 = 571,861/x
  3. Step 3: Cross multiply
    377,584x = 571,861 × 571,861
  4. Step 4: Simplify right side
    377,584x = 327,025,003,321
  5. Step 5: Solve for x
    x = 327,025,003,321/377,584
  6. Step 6: Final answer
    x = 866,098.68

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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.