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Finding the Third Proportional to 570.19 and 814.22

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Solution

The third proportional to 570.19 and 814.22 is: 1,162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.19 : 814.22 = 814.22 : x
  2. Step 2: Convert to fraction form
    570.19/814.22 = 814.22/x
  3. Step 3: Cross multiply
    570.19x = 814.22 × 814.22
  4. Step 4: Simplify right side
    570.19x = 662,952.17
  5. Step 5: Solve for x
    x = 662,952.17/570.19
  6. Step 6: Final answer
    x = 1,162.69

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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.