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Finding the Third Proportional to 268,290 and 587,017.13

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Solution

The third proportional to 268,290 and 587,017.13 is: 1,284,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,290 : 587,017.13 = 587,017.13 : x
  2. Step 2: Convert to fraction form
    268,290/587,017.13 = 587,017.13/x
  3. Step 3: Cross multiply
    268,290x = 587,017.13 × 587,017.13
  4. Step 4: Simplify right side
    268,290x = 344,589,105,043.27
  5. Step 5: Solve for x
    x = 344,589,105,043.27/268,290
  6. Step 6: Final answer
    x = 1,284,390.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.