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Finding the Third Proportional to 711.07 and 1,096.03

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Solution

The third proportional to 711.07 and 1,096.03 is: 1,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.07 : 1,096.03 = 1,096.03 : x
  2. Step 2: Convert to fraction form
    711.07/1,096.03 = 1,096.03/x
  3. Step 3: Cross multiply
    711.07x = 1,096.03 × 1,096.03
  4. Step 4: Simplify right side
    711.07x = 1,201,284.50
  5. Step 5: Solve for x
    x = 1,201,284.50/711.07
  6. Step 6: Final answer
    x = 1,689.40

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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.