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Finding the Third Proportional to 784.69 and 1,718.72

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Solution

The third proportional to 784.69 and 1,718.72 is: 3,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.69 : 1,718.72 = 1,718.72 : x
  2. Step 2: Convert to fraction form
    784.69/1,718.72 = 1,718.72/x
  3. Step 3: Cross multiply
    784.69x = 1,718.72 × 1,718.72
  4. Step 4: Simplify right side
    784.69x = 2,953,994.14
  5. Step 5: Solve for x
    x = 2,953,994.14/784.69
  6. Step 6: Final answer
    x = 3,764.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.