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Finding the Third Proportional to 564 and 604.50

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Solution

The third proportional to 564 and 604.50 is: 647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564 : 604.50 = 604.50 : x
  2. Step 2: Convert to fraction form
    564/604.50 = 604.50/x
  3. Step 3: Cross multiply
    564x = 604.50 × 604.50
  4. Step 4: Simplify right side
    564x = 365,420.25
  5. Step 5: Solve for x
    x = 365,420.25/564
  6. Step 6: Final answer
    x = 647.91

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.