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Finding the Third Proportional to 712.13 and 1,037.81

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Solution

The third proportional to 712.13 and 1,037.81 is: 1,512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.13 : 1,037.81 = 1,037.81 : x
  2. Step 2: Convert to fraction form
    712.13/1,037.81 = 1,037.81/x
  3. Step 3: Cross multiply
    712.13x = 1,037.81 × 1,037.81
  4. Step 4: Simplify right side
    712.13x = 1,077,054.79
  5. Step 5: Solve for x
    x = 1,077,054.79/712.13
  6. Step 6: Final answer
    x = 1,512.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.