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Finding the Third Proportional to 700.52 and 1,119.13

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Solution

The third proportional to 700.52 and 1,119.13 is: 1,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.52 : 1,119.13 = 1,119.13 : x
  2. Step 2: Convert to fraction form
    700.52/1,119.13 = 1,119.13/x
  3. Step 3: Cross multiply
    700.52x = 1,119.13 × 1,119.13
  4. Step 4: Simplify right side
    700.52x = 1,252,449.51
  5. Step 5: Solve for x
    x = 1,252,449.51/700.52
  6. Step 6: Final answer
    x = 1,787.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.