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Finding the Third Proportional to 564.13 and 805.13

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Solution

The third proportional to 564.13 and 805.13 is: 1,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.13 : 805.13 = 805.13 : x
  2. Step 2: Convert to fraction form
    564.13/805.13 = 805.13/x
  3. Step 3: Cross multiply
    564.13x = 805.13 × 805.13
  4. Step 4: Simplify right side
    564.13x = 648,226.27
  5. Step 5: Solve for x
    x = 648,226.27/564.13
  6. Step 6: Final answer
    x = 1,149.08

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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.