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Finding the Third Proportional to 697.99 and 1,030.76

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Solution

The third proportional to 697.99 and 1,030.76 is: 1,522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.99 : 1,030.76 = 1,030.76 : x
  2. Step 2: Convert to fraction form
    697.99/1,030.76 = 1,030.76/x
  3. Step 3: Cross multiply
    697.99x = 1,030.76 × 1,030.76
  4. Step 4: Simplify right side
    697.99x = 1,062,471.48
  5. Step 5: Solve for x
    x = 1,062,471.48/697.99
  6. Step 6: Final answer
    x = 1,522.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.