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Finding the Third Proportional to 377,587 and 571,865

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Solution

The third proportional to 377,587 and 571,865 is: 866,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,587 : 571,865 = 571,865 : x
  2. Step 2: Convert to fraction form
    377,587/571,865 = 571,865/x
  3. Step 3: Cross multiply
    377,587x = 571,865 × 571,865
  4. Step 4: Simplify right side
    377,587x = 327,029,578,225
  5. Step 5: Solve for x
    x = 327,029,578,225/377,587
  6. Step 6: Final answer
    x = 866,103.91

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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.