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Finding the Third Proportional to 437,531.63 and 949,755.38

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Solution

The third proportional to 437,531.63 and 949,755.38 is: 2,061,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,531.63 : 949,755.38 = 949,755.38 : x
  2. Step 2: Convert to fraction form
    437,531.63/949,755.38 = 949,755.38/x
  3. Step 3: Cross multiply
    437,531.63x = 949,755.38 × 949,755.38
  4. Step 4: Simplify right side
    437,531.63x = 902,035,272,341.39
  5. Step 5: Solve for x
    x = 902,035,272,341.39/437,531.63
  6. Step 6: Final answer
    x = 2,061,645.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.