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Finding the Third Proportional to 760.94 and 1,182.09

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Solution

The third proportional to 760.94 and 1,182.09 is: 1,836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.94 : 1,182.09 = 1,182.09 : x
  2. Step 2: Convert to fraction form
    760.94/1,182.09 = 1,182.09/x
  3. Step 3: Cross multiply
    760.94x = 1,182.09 × 1,182.09
  4. Step 4: Simplify right side
    760.94x = 1,397,345.63
  5. Step 5: Solve for x
    x = 1,397,345.63/760.94
  6. Step 6: Final answer
    x = 1,836.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.