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Finding the Third Proportional to 732.28 and 1,569.19

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Solution

The third proportional to 732.28 and 1,569.19 is: 3,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.28 : 1,569.19 = 1,569.19 : x
  2. Step 2: Convert to fraction form
    732.28/1,569.19 = 1,569.19/x
  3. Step 3: Cross multiply
    732.28x = 1,569.19 × 1,569.19
  4. Step 4: Simplify right side
    732.28x = 2,462,349.41
  5. Step 5: Solve for x
    x = 2,462,349.41/732.28
  6. Step 6: Final answer
    x = 3,362.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.