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Finding the Third Proportional to 528.75 and 700.13

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Solution

The third proportional to 528.75 and 700.13 is: 927.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.75 : 700.13 = 700.13 : x
  2. Step 2: Convert to fraction form
    528.75/700.13 = 700.13/x
  3. Step 3: Cross multiply
    528.75x = 700.13 × 700.13
  4. Step 4: Simplify right side
    528.75x = 490,175.02
  5. Step 5: Solve for x
    x = 490,175.02/528.75
  6. Step 6: Final answer
    x = 927.04

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.