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Finding the Third Proportional to 586.69 and 1,254.09

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Solution

The third proportional to 586.69 and 1,254.09 is: 2,680.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.69 : 1,254.09 = 1,254.09 : x
  2. Step 2: Convert to fraction form
    586.69/1,254.09 = 1,254.09/x
  3. Step 3: Cross multiply
    586.69x = 1,254.09 × 1,254.09
  4. Step 4: Simplify right side
    586.69x = 1,572,751.13
  5. Step 5: Solve for x
    x = 1,572,751.13/586.69
  6. Step 6: Final answer
    x = 2,680.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.