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Finding the Third Proportional to 558,120 and 834,996

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Solution

The third proportional to 558,120 and 834,996 is: 1,249,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,120 : 834,996 = 834,996 : x
  2. Step 2: Convert to fraction form
    558,120/834,996 = 834,996/x
  3. Step 3: Cross multiply
    558,120x = 834,996 × 834,996
  4. Step 4: Simplify right side
    558,120x = 697,218,320,016
  5. Step 5: Solve for x
    x = 697,218,320,016/558,120
  6. Step 6: Final answer
    x = 1,249,226.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.