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Finding the Third Proportional to 436,643.25 and 662,350.88

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Solution

The third proportional to 436,643.25 and 662,350.88 is: 1,004,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,643.25 : 662,350.88 = 662,350.88 : x
  2. Step 2: Convert to fraction form
    436,643.25/662,350.88 = 662,350.88/x
  3. Step 3: Cross multiply
    436,643.25x = 662,350.88 × 662,350.88
  4. Step 4: Simplify right side
    436,643.25x = 438,708,681,613.27
  5. Step 5: Solve for x
    x = 438,708,681,613.27/436,643.25
  6. Step 6: Final answer
    x = 1,004,730.25

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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.