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Finding the Third Proportional to 527.16 and 770.47

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Solution

The third proportional to 527.16 and 770.47 is: 1,126.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.16 : 770.47 = 770.47 : x
  2. Step 2: Convert to fraction form
    527.16/770.47 = 770.47/x
  3. Step 3: Cross multiply
    527.16x = 770.47 × 770.47
  4. Step 4: Simplify right side
    527.16x = 593,622.09
  5. Step 5: Solve for x
    x = 593,622.09/527.16
  6. Step 6: Final answer
    x = 1,126.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.