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Finding the Third Proportional to 783.56 and 1,209.80

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Solution

The third proportional to 783.56 and 1,209.80 is: 1,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.56 : 1,209.80 = 1,209.80 : x
  2. Step 2: Convert to fraction form
    783.56/1,209.80 = 1,209.80/x
  3. Step 3: Cross multiply
    783.56x = 1,209.80 × 1,209.80
  4. Step 4: Simplify right side
    783.56x = 1,463,608.48
  5. Step 5: Solve for x
    x = 1,463,608.48/783.56
  6. Step 6: Final answer
    x = 1,867.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.