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Finding the Third Proportional to 488.81 and 545.06

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Solution

The third proportional to 488.81 and 545.06 is: 607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.81 : 545.06 = 545.06 : x
  2. Step 2: Convert to fraction form
    488.81/545.06 = 545.06/x
  3. Step 3: Cross multiply
    488.81x = 545.06 × 545.06
  4. Step 4: Simplify right side
    488.81x = 297,093.13
  5. Step 5: Solve for x
    x = 297,093.13/488.81
  6. Step 6: Final answer
    x = 607.79

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.