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Finding the Third Proportional to 502,220.25 and 757,858.78

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Solution

The third proportional to 502,220.25 and 757,858.78 is: 1,143,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,220.25 : 757,858.78 = 757,858.78 : x
  2. Step 2: Convert to fraction form
    502,220.25/757,858.78 = 757,858.78/x
  3. Step 3: Cross multiply
    502,220.25x = 757,858.78 × 757,858.78
  4. Step 4: Simplify right side
    502,220.25x = 574,349,932,317.74
  5. Step 5: Solve for x
    x = 574,349,932,317.74/502,220.25
  6. Step 6: Final answer
    x = 1,143,621.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.