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Finding the Third Proportional to 586.13 and 1,269.84

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Solution

The third proportional to 586.13 and 1,269.84 is: 2,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.13 : 1,269.84 = 1,269.84 : x
  2. Step 2: Convert to fraction form
    586.13/1,269.84 = 1,269.84/x
  3. Step 3: Cross multiply
    586.13x = 1,269.84 × 1,269.84
  4. Step 4: Simplify right side
    586.13x = 1,612,503.15
  5. Step 5: Solve for x
    x = 1,612,503.15/586.13
  6. Step 6: Final answer
    x = 2,751.13

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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.