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Finding the Third Proportional to 407,243.25 and 876,627

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Solution

The third proportional to 407,243.25 and 876,627 is: 1,887,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,243.25 : 876,627 = 876,627 : x
  2. Step 2: Convert to fraction form
    407,243.25/876,627 = 876,627/x
  3. Step 3: Cross multiply
    407,243.25x = 876,627 × 876,627
  4. Step 4: Simplify right side
    407,243.25x = 768,474,897,129
  5. Step 5: Solve for x
    x = 768,474,897,129/407,243.25
  6. Step 6: Final answer
    x = 1,887,016.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.