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Finding the Third Proportional to 656.07 and 1,003.17

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Solution

The third proportional to 656.07 and 1,003.17 is: 1,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.07 : 1,003.17 = 1,003.17 : x
  2. Step 2: Convert to fraction form
    656.07/1,003.17 = 1,003.17/x
  3. Step 3: Cross multiply
    656.07x = 1,003.17 × 1,003.17
  4. Step 4: Simplify right side
    656.07x = 1,006,342.05
  5. Step 5: Solve for x
    x = 1,006,342.05/656.07
  6. Step 6: Final answer
    x = 1,533.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.