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Finding the Third Proportional to 586.56 and 882.19

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Solution

The third proportional to 586.56 and 882.19 is: 1,326.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.56 : 882.19 = 882.19 : x
  2. Step 2: Convert to fraction form
    586.56/882.19 = 882.19/x
  3. Step 3: Cross multiply
    586.56x = 882.19 × 882.19
  4. Step 4: Simplify right side
    586.56x = 778,254.79
  5. Step 5: Solve for x
    x = 778,254.79/586.56
  6. Step 6: Final answer
    x = 1,326.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.