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Finding the Third Proportional to 473,546.25 and 722,135.25

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Solution

The third proportional to 473,546.25 and 722,135.25 is: 1,101,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,546.25 : 722,135.25 = 722,135.25 : x
  2. Step 2: Convert to fraction form
    473,546.25/722,135.25 = 722,135.25/x
  3. Step 3: Cross multiply
    473,546.25x = 722,135.25 × 722,135.25
  4. Step 4: Simplify right side
    473,546.25x = 521,479,319,292.56
  5. Step 5: Solve for x
    x = 521,479,319,292.56/473,546.25
  6. Step 6: Final answer
    x = 1,101,221.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.