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Finding the Third Proportional to 723.66 and 1,033.88

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Solution

The third proportional to 723.66 and 1,033.88 is: 1,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.66 : 1,033.88 = 1,033.88 : x
  2. Step 2: Convert to fraction form
    723.66/1,033.88 = 1,033.88/x
  3. Step 3: Cross multiply
    723.66x = 1,033.88 × 1,033.88
  4. Step 4: Simplify right side
    723.66x = 1,068,897.52
  5. Step 5: Solve for x
    x = 1,068,897.52/723.66
  6. Step 6: Final answer
    x = 1,477.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.