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Finding the Third Proportional to 391,814 and 581,961

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Solution

The third proportional to 391,814 and 581,961 is: 864,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,814 : 581,961 = 581,961 : x
  2. Step 2: Convert to fraction form
    391,814/581,961 = 581,961/x
  3. Step 3: Cross multiply
    391,814x = 581,961 × 581,961
  4. Step 4: Simplify right side
    391,814x = 338,678,605,521
  5. Step 5: Solve for x
    x = 338,678,605,521/391,814
  6. Step 6: Final answer
    x = 864,386.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.