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Finding the Third Proportional to 526.71 and 771.03

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Solution

The third proportional to 526.71 and 771.03 is: 1,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.71 : 771.03 = 771.03 : x
  2. Step 2: Convert to fraction form
    526.71/771.03 = 771.03/x
  3. Step 3: Cross multiply
    526.71x = 771.03 × 771.03
  4. Step 4: Simplify right side
    526.71x = 594,486.18
  5. Step 5: Solve for x
    x = 594,486.18/526.71
  6. Step 6: Final answer
    x = 1,128.68

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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.