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Finding the Third Proportional to 459.98 and 695.67

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Solution

The third proportional to 459.98 and 695.67 is: 1,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.98 : 695.67 = 695.67 : x
  2. Step 2: Convert to fraction form
    459.98/695.67 = 695.67/x
  3. Step 3: Cross multiply
    459.98x = 695.67 × 695.67
  4. Step 4: Simplify right side
    459.98x = 483,959.36
  5. Step 5: Solve for x
    x = 483,959.36/459.98
  6. Step 6: Final answer
    x = 1,052.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.