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Finding the Third Proportional to 564.47 and 1,230.19

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Solution

The third proportional to 564.47 and 1,230.19 is: 2,681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.47 : 1,230.19 = 1,230.19 : x
  2. Step 2: Convert to fraction form
    564.47/1,230.19 = 1,230.19/x
  3. Step 3: Cross multiply
    564.47x = 1,230.19 × 1,230.19
  4. Step 4: Simplify right side
    564.47x = 1,513,361.29
  5. Step 5: Solve for x
    x = 1,513,361.29/564.47
  6. Step 6: Final answer
    x = 2,681.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.