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Finding the Third Proportional to 521 and 707.50

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Solution

The third proportional to 521 and 707.50 is: 960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    521 : 707.50 = 707.50 : x
  2. Step 2: Convert to fraction form
    521/707.50 = 707.50/x
  3. Step 3: Cross multiply
    521x = 707.50 × 707.50
  4. Step 4: Simplify right side
    521x = 500,556.25
  5. Step 5: Solve for x
    x = 500,556.25/521
  6. Step 6: Final answer
    x = 960.76

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.