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Finding the Third Proportional to 563.63 and 606.75

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Solution

The third proportional to 563.63 and 606.75 is: 653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.63 : 606.75 = 606.75 : x
  2. Step 2: Convert to fraction form
    563.63/606.75 = 606.75/x
  3. Step 3: Cross multiply
    563.63x = 606.75 × 606.75
  4. Step 4: Simplify right side
    563.63x = 368,145.56
  5. Step 5: Solve for x
    x = 368,145.56/563.63
  6. Step 6: Final answer
    x = 653.17

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.