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Finding the Third Proportional to 712.13 and 1,045.13

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Solution

The third proportional to 712.13 and 1,045.13 is: 1,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.13 : 1,045.13 = 1,045.13 : x
  2. Step 2: Convert to fraction form
    712.13/1,045.13 = 1,045.13/x
  3. Step 3: Cross multiply
    712.13x = 1,045.13 × 1,045.13
  4. Step 4: Simplify right side
    712.13x = 1,092,286.27
  5. Step 5: Solve for x
    x = 1,092,286.27/712.13
  6. Step 6: Final answer
    x = 1,533.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.