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Finding the Third Proportional to 270,237.75 and 625,535.25

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Solution

The third proportional to 270,237.75 and 625,535.25 is: 1,447,963.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,237.75 : 625,535.25 = 625,535.25 : x
  2. Step 2: Convert to fraction form
    270,237.75/625,535.25 = 625,535.25/x
  3. Step 3: Cross multiply
    270,237.75x = 625,535.25 × 625,535.25
  4. Step 4: Simplify right side
    270,237.75x = 391,294,348,992.56
  5. Step 5: Solve for x
    x = 391,294,348,992.56/270,237.75
  6. Step 6: Final answer
    x = 1,447,963.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.