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Finding the Third Proportional to 514,552.50 and 1,365,796.69

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Solution

The third proportional to 514,552.50 and 1,365,796.69 is: 3,625,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,552.50 : 1,365,796.69 = 1,365,796.69 : x
  2. Step 2: Convert to fraction form
    514,552.50/1,365,796.69 = 1,365,796.69/x
  3. Step 3: Cross multiply
    514,552.50x = 1,365,796.69 × 1,365,796.69
  4. Step 4: Simplify right side
    514,552.50x = 1,865,400,591,585.97
  5. Step 5: Solve for x
    x = 1,865,400,591,585.97/514,552.50
  6. Step 6: Final answer
    x = 3,625,287.20

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.