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Finding the Third Proportional to 270,947.53 and 416,623.50

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Solution

The third proportional to 270,947.53 and 416,623.50 is: 640,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,947.53 : 416,623.50 = 416,623.50 : x
  2. Step 2: Convert to fraction form
    270,947.53/416,623.50 = 416,623.50/x
  3. Step 3: Cross multiply
    270,947.53x = 416,623.50 × 416,623.50
  4. Step 4: Simplify right side
    270,947.53x = 173,575,140,752.25
  5. Step 5: Solve for x
    x = 173,575,140,752.25/270,947.53
  6. Step 6: Final answer
    x = 640,622.71

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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.