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Finding the Third Proportional to 415,575.56 and 897,581.25

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Solution

The third proportional to 415,575.56 and 897,581.25 is: 1,938,641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,575.56 : 897,581.25 = 897,581.25 : x
  2. Step 2: Convert to fraction form
    415,575.56/897,581.25 = 897,581.25/x
  3. Step 3: Cross multiply
    415,575.56x = 897,581.25 × 897,581.25
  4. Step 4: Simplify right side
    415,575.56x = 805,652,100,351.56
  5. Step 5: Solve for x
    x = 805,652,100,351.56/415,575.56
  6. Step 6: Final answer
    x = 1,938,641.66

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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.