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Finding the Third Proportional to 570.13 and 814.13

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Solution

The third proportional to 570.13 and 814.13 is: 1,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.13 : 814.13 = 814.13 : x
  2. Step 2: Convert to fraction form
    570.13/814.13 = 814.13/x
  3. Step 3: Cross multiply
    570.13x = 814.13 × 814.13
  4. Step 4: Simplify right side
    570.13x = 662,799.52
  5. Step 5: Solve for x
    x = 662,799.52/570.13
  6. Step 6: Final answer
    x = 1,162.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.