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Finding the Third Proportional to 784.13 and 1,698.75

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Solution

The third proportional to 784.13 and 1,698.75 is: 3,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.13 : 1,698.75 = 1,698.75 : x
  2. Step 2: Convert to fraction form
    784.13/1,698.75 = 1,698.75/x
  3. Step 3: Cross multiply
    784.13x = 1,698.75 × 1,698.75
  4. Step 4: Simplify right side
    784.13x = 2,885,751.56
  5. Step 5: Solve for x
    x = 2,885,751.56/784.13
  6. Step 6: Final answer
    x = 3,680.22

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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.