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Finding the Third Proportional to 514.69 and 783.84

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Solution

The third proportional to 514.69 and 783.84 is: 1,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.69 : 783.84 = 783.84 : x
  2. Step 2: Convert to fraction form
    514.69/783.84 = 783.84/x
  3. Step 3: Cross multiply
    514.69x = 783.84 × 783.84
  4. Step 4: Simplify right side
    514.69x = 614,411.02
  5. Step 5: Solve for x
    x = 614,411.02/514.69
  6. Step 6: Final answer
    x = 1,193.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.