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Finding the Third Proportional to 670.62 and 1,046.28

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Solution

The third proportional to 670.62 and 1,046.28 is: 1,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.62 : 1,046.28 = 1,046.28 : x
  2. Step 2: Convert to fraction form
    670.62/1,046.28 = 1,046.28/x
  3. Step 3: Cross multiply
    670.62x = 1,046.28 × 1,046.28
  4. Step 4: Simplify right side
    670.62x = 1,094,694.24
  5. Step 5: Solve for x
    x = 1,094,694.24/670.62
  6. Step 6: Final answer
    x = 1,632.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.