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Finding the Third Proportional to 521 and 738.50

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Solution

The third proportional to 521 and 738.50 is: 1,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521 : 738.50 = 738.50 : x
  2. Step 2: Convert to fraction form
    521/738.50 = 738.50/x
  3. Step 3: Cross multiply
    521x = 738.50 × 738.50
  4. Step 4: Simplify right side
    521x = 545,382.25
  5. Step 5: Solve for x
    x = 545,382.25/521
  6. Step 6: Final answer
    x = 1,046.80

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Why These Related Problems?

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