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Finding the Third Proportional to 565.10 and 1,208.67

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Solution

The third proportional to 565.10 and 1,208.67 is: 2,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.10 : 1,208.67 = 1,208.67 : x
  2. Step 2: Convert to fraction form
    565.10/1,208.67 = 1,208.67/x
  3. Step 3: Cross multiply
    565.10x = 1,208.67 × 1,208.67
  4. Step 4: Simplify right side
    565.10x = 1,460,887.70
  5. Step 5: Solve for x
    x = 1,460,887.70/565.10
  6. Step 6: Final answer
    x = 2,585.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.