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Finding the Third Proportional to 415.13 and 608.77

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Solution

The third proportional to 415.13 and 608.77 is: 892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.13 : 608.77 = 608.77 : x
  2. Step 2: Convert to fraction form
    415.13/608.77 = 608.77/x
  3. Step 3: Cross multiply
    415.13x = 608.77 × 608.77
  4. Step 4: Simplify right side
    415.13x = 370,595.59
  5. Step 5: Solve for x
    x = 370,595.59/415.13
  6. Step 6: Final answer
    x = 892.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.