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Finding the Third Proportional to 711.07 and 1,030.54

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Solution

The third proportional to 711.07 and 1,030.54 is: 1,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.07 : 1,030.54 = 1,030.54 : x
  2. Step 2: Convert to fraction form
    711.07/1,030.54 = 1,030.54/x
  3. Step 3: Cross multiply
    711.07x = 1,030.54 × 1,030.54
  4. Step 4: Simplify right side
    711.07x = 1,062,002.71
  5. Step 5: Solve for x
    x = 1,062,002.71/711.07
  6. Step 6: Final answer
    x = 1,493.53

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.