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Finding the Third Proportional to 458,196.75 and 987,356.25

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Solution

The third proportional to 458,196.75 and 987,356.25 is: 2,127,628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,196.75 : 987,356.25 = 987,356.25 : x
  2. Step 2: Convert to fraction form
    458,196.75/987,356.25 = 987,356.25/x
  3. Step 3: Cross multiply
    458,196.75x = 987,356.25 × 987,356.25
  4. Step 4: Simplify right side
    458,196.75x = 974,872,364,414.06
  5. Step 5: Solve for x
    x = 974,872,364,414.06/458,196.75
  6. Step 6: Final answer
    x = 2,127,628.28

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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.