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Finding the Third Proportional to 784.27 and 1,703.95

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Solution

The third proportional to 784.27 and 1,703.95 is: 3,702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.27 : 1,703.95 = 1,703.95 : x
  2. Step 2: Convert to fraction form
    784.27/1,703.95 = 1,703.95/x
  3. Step 3: Cross multiply
    784.27x = 1,703.95 × 1,703.95
  4. Step 4: Simplify right side
    784.27x = 2,903,456.25
  5. Step 5: Solve for x
    x = 2,903,456.25/784.27
  6. Step 6: Final answer
    x = 3,702.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.