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Finding the Third Proportional to 476,154 and 765,571

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Solution

The third proportional to 476,154 and 765,571 is: 1,230,902.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,154 : 765,571 = 765,571 : x
  2. Step 2: Convert to fraction form
    476,154/765,571 = 765,571/x
  3. Step 3: Cross multiply
    476,154x = 765,571 × 765,571
  4. Step 4: Simplify right side
    476,154x = 586,098,956,041
  5. Step 5: Solve for x
    x = 586,098,956,041/476,154
  6. Step 6: Final answer
    x = 1,230,902.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.