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Finding the Third Proportional to 295,627.50 and 648,480.75

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Solution

The third proportional to 295,627.50 and 648,480.75 is: 1,422,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,627.50 : 648,480.75 = 648,480.75 : x
  2. Step 2: Convert to fraction form
    295,627.50/648,480.75 = 648,480.75/x
  3. Step 3: Cross multiply
    295,627.50x = 648,480.75 × 648,480.75
  4. Step 4: Simplify right side
    295,627.50x = 420,527,283,120.56
  5. Step 5: Solve for x
    x = 420,527,283,120.56/295,627.50
  6. Step 6: Final answer
    x = 1,422,490.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.