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Finding the Third Proportional to 415 and 655.50

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Solution

The third proportional to 415 and 655.50 is: 1,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415 : 655.50 = 655.50 : x
  2. Step 2: Convert to fraction form
    415/655.50 = 655.50/x
  3. Step 3: Cross multiply
    415x = 655.50 × 655.50
  4. Step 4: Simplify right side
    415x = 429,680.25
  5. Step 5: Solve for x
    x = 429,680.25/415
  6. Step 6: Final answer
    x = 1,035.37

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.