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Finding the Third Proportional to 240,411.38 and 514,174.50

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Solution

The third proportional to 240,411.38 and 514,174.50 is: 1,099,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,411.38 : 514,174.50 = 514,174.50 : x
  2. Step 2: Convert to fraction form
    240,411.38/514,174.50 = 514,174.50/x
  3. Step 3: Cross multiply
    240,411.38x = 514,174.50 × 514,174.50
  4. Step 4: Simplify right side
    240,411.38x = 264,375,416,450.25
  5. Step 5: Solve for x
    x = 264,375,416,450.25/240,411.38
  6. Step 6: Final answer
    x = 1,099,679.32

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Why These Related Problems?

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