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Finding the Third Proportional to 521.50 and 812.13

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Solution

The third proportional to 521.50 and 812.13 is: 1,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.50 : 812.13 = 812.13 : x
  2. Step 2: Convert to fraction form
    521.50/812.13 = 812.13/x
  3. Step 3: Cross multiply
    521.50x = 812.13 × 812.13
  4. Step 4: Simplify right side
    521.50x = 659,547.02
  5. Step 5: Solve for x
    x = 659,547.02/521.50
  6. Step 6: Final answer
    x = 1,264.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.