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Finding the Third Proportional to 499,581 and 677,199

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Solution

The third proportional to 499,581 and 677,199 is: 917,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,581 : 677,199 = 677,199 : x
  2. Step 2: Convert to fraction form
    499,581/677,199 = 677,199/x
  3. Step 3: Cross multiply
    499,581x = 677,199 × 677,199
  4. Step 4: Simplify right side
    499,581x = 458,598,485,601
  5. Step 5: Solve for x
    x = 458,598,485,601/499,581
  6. Step 6: Final answer
    x = 917,966.23

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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.