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Finding the Third Proportional to 783.42 and 1,239.68

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Solution

The third proportional to 783.42 and 1,239.68 is: 1,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.42 : 1,239.68 = 1,239.68 : x
  2. Step 2: Convert to fraction form
    783.42/1,239.68 = 1,239.68/x
  3. Step 3: Cross multiply
    783.42x = 1,239.68 × 1,239.68
  4. Step 4: Simplify right side
    783.42x = 1,536,805.73
  5. Step 5: Solve for x
    x = 1,536,805.73/783.42
  6. Step 6: Final answer
    x = 1,961.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.