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Finding the Third Proportional to 499,826 and 799,411

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Solution

The third proportional to 499,826 and 799,411 is: 1,278,560.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,826 : 799,411 = 799,411 : x
  2. Step 2: Convert to fraction form
    499,826/799,411 = 799,411/x
  3. Step 3: Cross multiply
    499,826x = 799,411 × 799,411
  4. Step 4: Simplify right side
    499,826x = 639,057,946,921
  5. Step 5: Solve for x
    x = 639,057,946,921/499,826
  6. Step 6: Final answer
    x = 1,278,560.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.