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Finding the Third Proportional to 461.25 and 525.38

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Solution

The third proportional to 461.25 and 525.38 is: 598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.25 : 525.38 = 525.38 : x
  2. Step 2: Convert to fraction form
    461.25/525.38 = 525.38/x
  3. Step 3: Cross multiply
    461.25x = 525.38 × 525.38
  4. Step 4: Simplify right side
    461.25x = 276,018.89
  5. Step 5: Solve for x
    x = 276,018.89/461.25
  6. Step 6: Final answer
    x = 598.41

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.