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Finding the Third Proportional to 584.50 and 1,267.06

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Solution

The third proportional to 584.50 and 1,267.06 is: 2,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.50 : 1,267.06 = 1,267.06 : x
  2. Step 2: Convert to fraction form
    584.50/1,267.06 = 1,267.06/x
  3. Step 3: Cross multiply
    584.50x = 1,267.06 × 1,267.06
  4. Step 4: Simplify right side
    584.50x = 1,605,447.38
  5. Step 5: Solve for x
    x = 1,605,447.38/584.50
  6. Step 6: Final answer
    x = 2,746.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.