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Finding the Third Proportional to 670.88 and 1,048.88

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Solution

The third proportional to 670.88 and 1,048.88 is: 1,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.88 : 1,048.88 = 1,048.88 : x
  2. Step 2: Convert to fraction form
    670.88/1,048.88 = 1,048.88/x
  3. Step 3: Cross multiply
    670.88x = 1,048.88 × 1,048.88
  4. Step 4: Simplify right side
    670.88x = 1,100,138.77
  5. Step 5: Solve for x
    x = 1,100,138.77/670.88
  6. Step 6: Final answer
    x = 1,639.86

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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.