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Finding the Third Proportional to 410,935 and 559,814

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Solution

The third proportional to 410,935 and 559,814 is: 762,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,935 : 559,814 = 559,814 : x
  2. Step 2: Convert to fraction form
    410,935/559,814 = 559,814/x
  3. Step 3: Cross multiply
    410,935x = 559,814 × 559,814
  4. Step 4: Simplify right side
    410,935x = 313,391,714,596
  5. Step 5: Solve for x
    x = 313,391,714,596/410,935
  6. Step 6: Final answer
    x = 762,630.87

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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.