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Finding the Third Proportional to 433,883.25 and 942,397.88

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Solution

The third proportional to 433,883.25 and 942,397.88 is: 2,046,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,883.25 : 942,397.88 = 942,397.88 : x
  2. Step 2: Convert to fraction form
    433,883.25/942,397.88 = 942,397.88/x
  3. Step 3: Cross multiply
    433,883.25x = 942,397.88 × 942,397.88
  4. Step 4: Simplify right side
    433,883.25x = 888,113,754,804.52
  5. Step 5: Solve for x
    x = 888,113,754,804.52/433,883.25
  6. Step 6: Final answer
    x = 2,046,895.69

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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.