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Finding the Third Proportional to 782.72 and 1,699.13

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Solution

The third proportional to 782.72 and 1,699.13 is: 3,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.72 : 1,699.13 = 1,699.13 : x
  2. Step 2: Convert to fraction form
    782.72/1,699.13 = 1,699.13/x
  3. Step 3: Cross multiply
    782.72x = 1,699.13 × 1,699.13
  4. Step 4: Simplify right side
    782.72x = 2,887,025.77
  5. Step 5: Solve for x
    x = 2,887,025.77/782.72
  6. Step 6: Final answer
    x = 3,688.46

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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.