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Finding the Third Proportional to 780.19 and 1,193.06

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Solution

The third proportional to 780.19 and 1,193.06 is: 1,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.19 : 1,193.06 = 1,193.06 : x
  2. Step 2: Convert to fraction form
    780.19/1,193.06 = 1,193.06/x
  3. Step 3: Cross multiply
    780.19x = 1,193.06 × 1,193.06
  4. Step 4: Simplify right side
    780.19x = 1,423,398.13
  5. Step 5: Solve for x
    x = 1,423,398.13/780.19
  6. Step 6: Final answer
    x = 1,824.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.