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Finding the Third Proportional to 514,849.50 and 1,111,299.75

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Solution

The third proportional to 514,849.50 and 1,111,299.75 is: 2,398,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,849.50 : 1,111,299.75 = 1,111,299.75 : x
  2. Step 2: Convert to fraction form
    514,849.50/1,111,299.75 = 1,111,299.75/x
  3. Step 3: Cross multiply
    514,849.50x = 1,111,299.75 × 1,111,299.75
  4. Step 4: Simplify right side
    514,849.50x = 1,234,987,134,350.06
  5. Step 5: Solve for x
    x = 1,234,987,134,350.06/514,849.50
  6. Step 6: Final answer
    x = 2,398,734.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.