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Finding the Third Proportional to 719.86 and 1,567.76

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Solution

The third proportional to 719.86 and 1,567.76 is: 3,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.86 : 1,567.76 = 1,567.76 : x
  2. Step 2: Convert to fraction form
    719.86/1,567.76 = 1,567.76/x
  3. Step 3: Cross multiply
    719.86x = 1,567.76 × 1,567.76
  4. Step 4: Simplify right side
    719.86x = 2,457,864.56
  5. Step 5: Solve for x
    x = 2,457,864.56/719.86
  6. Step 6: Final answer
    x = 3,414.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.