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Finding the Third Proportional to 527.41 and 773.93

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Solution

The third proportional to 527.41 and 773.93 is: 1,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.41 : 773.93 = 773.93 : x
  2. Step 2: Convert to fraction form
    527.41/773.93 = 773.93/x
  3. Step 3: Cross multiply
    527.41x = 773.93 × 773.93
  4. Step 4: Simplify right side
    527.41x = 598,967.16
  5. Step 5: Solve for x
    x = 598,967.16/527.41
  6. Step 6: Final answer
    x = 1,135.67

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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.