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Finding the Third Proportional to 723.09 and 1,088.02

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Solution

The third proportional to 723.09 and 1,088.02 is: 1,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.09 : 1,088.02 = 1,088.02 : x
  2. Step 2: Convert to fraction form
    723.09/1,088.02 = 1,088.02/x
  3. Step 3: Cross multiply
    723.09x = 1,088.02 × 1,088.02
  4. Step 4: Simplify right side
    723.09x = 1,183,778.00
  5. Step 5: Solve for x
    x = 1,183,778.00/723.09
  6. Step 6: Final answer
    x = 1,637.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.