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Finding the Third Proportional to 424,205.25 and 914,829.75

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Solution

The third proportional to 424,205.25 and 914,829.75 is: 1,972,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,205.25 : 914,829.75 = 914,829.75 : x
  2. Step 2: Convert to fraction form
    424,205.25/914,829.75 = 914,829.75/x
  3. Step 3: Cross multiply
    424,205.25x = 914,829.75 × 914,829.75
  4. Step 4: Simplify right side
    424,205.25x = 836,913,471,485.06
  5. Step 5: Solve for x
    x = 836,913,471,485.06/424,205.25
  6. Step 6: Final answer
    x = 1,972,897.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.