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Finding the Third Proportional to 760.31 and 1,141.31

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Solution

The third proportional to 760.31 and 1,141.31 is: 1,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.31 : 1,141.31 = 1,141.31 : x
  2. Step 2: Convert to fraction form
    760.31/1,141.31 = 1,141.31/x
  3. Step 3: Cross multiply
    760.31x = 1,141.31 × 1,141.31
  4. Step 4: Simplify right side
    760.31x = 1,302,594.22
  5. Step 5: Solve for x
    x = 1,302,594.22/760.31
  6. Step 6: Final answer
    x = 1,713.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.