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Finding the Third Proportional to 526.75 and 797.38

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Solution

The third proportional to 526.75 and 797.38 is: 1,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.75 : 797.38 = 797.38 : x
  2. Step 2: Convert to fraction form
    526.75/797.38 = 797.38/x
  3. Step 3: Cross multiply
    526.75x = 797.38 × 797.38
  4. Step 4: Simplify right side
    526.75x = 635,806.89
  5. Step 5: Solve for x
    x = 635,806.89/526.75
  6. Step 6: Final answer
    x = 1,207.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.