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Finding the Third Proportional to 240,408 and 514,167.75

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Solution

The third proportional to 240,408 and 514,167.75 is: 1,099,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,408 : 514,167.75 = 514,167.75 : x
  2. Step 2: Convert to fraction form
    240,408/514,167.75 = 514,167.75/x
  3. Step 3: Cross multiply
    240,408x = 514,167.75 × 514,167.75
  4. Step 4: Simplify right side
    240,408x = 264,368,475,140.06
  5. Step 5: Solve for x
    x = 264,368,475,140.06/240,408
  6. Step 6: Final answer
    x = 1,099,665.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.