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Finding the Third Proportional to 473,627.25 and 729,114.75

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Solution

The third proportional to 473,627.25 and 729,114.75 is: 1,122,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,627.25 : 729,114.75 = 729,114.75 : x
  2. Step 2: Convert to fraction form
    473,627.25/729,114.75 = 729,114.75/x
  3. Step 3: Cross multiply
    473,627.25x = 729,114.75 × 729,114.75
  4. Step 4: Simplify right side
    473,627.25x = 531,608,318,667.56
  5. Step 5: Solve for x
    x = 531,608,318,667.56/473,627.25
  6. Step 6: Final answer
    x = 1,122,419.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.