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Finding the Third Proportional to 415,217.25 and 899,303.25

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Solution

The third proportional to 415,217.25 and 899,303.25 is: 1,947,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,217.25 : 899,303.25 = 899,303.25 : x
  2. Step 2: Convert to fraction form
    415,217.25/899,303.25 = 899,303.25/x
  3. Step 3: Cross multiply
    415,217.25x = 899,303.25 × 899,303.25
  4. Step 4: Simplify right side
    415,217.25x = 808,746,335,460.56
  5. Step 5: Solve for x
    x = 808,746,335,460.56/415,217.25
  6. Step 6: Final answer
    x = 1,947,766.71

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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.