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Finding the Third Proportional to 377,551 and 571,817

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Solution

The third proportional to 377,551 and 571,817 is: 866,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,551 : 571,817 = 571,817 : x
  2. Step 2: Convert to fraction form
    377,551/571,817 = 571,817/x
  3. Step 3: Cross multiply
    377,551x = 571,817 × 571,817
  4. Step 4: Simplify right side
    377,551x = 326,974,681,489
  5. Step 5: Solve for x
    x = 326,974,681,489/377,551
  6. Step 6: Final answer
    x = 866,041.10

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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.