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Finding the Third Proportional to 784.88 and 1,165.13

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Solution

The third proportional to 784.88 and 1,165.13 is: 1,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.88 : 1,165.13 = 1,165.13 : x
  2. Step 2: Convert to fraction form
    784.88/1,165.13 = 1,165.13/x
  3. Step 3: Cross multiply
    784.88x = 1,165.13 × 1,165.13
  4. Step 4: Simplify right side
    784.88x = 1,357,516.27
  5. Step 5: Solve for x
    x = 1,357,516.27/784.88
  6. Step 6: Final answer
    x = 1,729.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.