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Finding the Third Proportional to 415,803.38 and 897,968.53

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Solution

The third proportional to 415,803.38 and 897,968.53 is: 1,939,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,803.38 : 897,968.53 = 897,968.53 : x
  2. Step 2: Convert to fraction form
    415,803.38/897,968.53 = 897,968.53/x
  3. Step 3: Cross multiply
    415,803.38x = 897,968.53 × 897,968.53
  4. Step 4: Simplify right side
    415,803.38x = 806,347,483,115.28
  5. Step 5: Solve for x
    x = 806,347,483,115.28/415,803.38
  6. Step 6: Final answer
    x = 1,939,251.90

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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.