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Finding the Third Proportional to 410,937 and 559,817

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Solution

The third proportional to 410,937 and 559,817 is: 762,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,937 : 559,817 = 559,817 : x
  2. Step 2: Convert to fraction form
    410,937/559,817 = 559,817/x
  3. Step 3: Cross multiply
    410,937x = 559,817 × 559,817
  4. Step 4: Simplify right side
    410,937x = 313,395,073,489
  5. Step 5: Solve for x
    x = 313,395,073,489/410,937
  6. Step 6: Final answer
    x = 762,635.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.