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Finding the Third Proportional to 762.19 and 1,177.08

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Solution

The third proportional to 762.19 and 1,177.08 is: 1,817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.19 : 1,177.08 = 1,177.08 : x
  2. Step 2: Convert to fraction form
    762.19/1,177.08 = 1,177.08/x
  3. Step 3: Cross multiply
    762.19x = 1,177.08 × 1,177.08
  4. Step 4: Simplify right side
    762.19x = 1,385,512.91
  5. Step 5: Solve for x
    x = 1,385,512.91/762.19
  6. Step 6: Final answer
    x = 1,817.81

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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.