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Finding the Third Proportional to 526.13 and 746.06

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Solution

The third proportional to 526.13 and 746.06 is: 1,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.13 : 746.06 = 746.06 : x
  2. Step 2: Convert to fraction form
    526.13/746.06 = 746.06/x
  3. Step 3: Cross multiply
    526.13x = 746.06 × 746.06
  4. Step 4: Simplify right side
    526.13x = 556,609.25
  5. Step 5: Solve for x
    x = 556,609.25/526.13
  6. Step 6: Final answer
    x = 1,057.94

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.