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Finding the Third Proportional to 415.88 and 915.38

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Solution

The third proportional to 415.88 and 915.38 is: 2,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.88 : 915.38 = 915.38 : x
  2. Step 2: Convert to fraction form
    415.88/915.38 = 915.38/x
  3. Step 3: Cross multiply
    415.88x = 915.38 × 915.38
  4. Step 4: Simplify right side
    415.88x = 837,911.39
  5. Step 5: Solve for x
    x = 837,911.39/415.88
  6. Step 6: Final answer
    x = 2,014.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.