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Finding the Third Proportional to 750.09 and 1,061.86

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Solution

The third proportional to 750.09 and 1,061.86 is: 1,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.09 : 1,061.86 = 1,061.86 : x
  2. Step 2: Convert to fraction form
    750.09/1,061.86 = 1,061.86/x
  3. Step 3: Cross multiply
    750.09x = 1,061.86 × 1,061.86
  4. Step 4: Simplify right side
    750.09x = 1,127,545.33
  5. Step 5: Solve for x
    x = 1,127,545.33/750.09
  6. Step 6: Final answer
    x = 1,503.21

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.