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Finding the Third Proportional to 586.31 and 882.94

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Solution

The third proportional to 586.31 and 882.94 is: 1,329.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.31 : 882.94 = 882.94 : x
  2. Step 2: Convert to fraction form
    586.31/882.94 = 882.94/x
  3. Step 3: Cross multiply
    586.31x = 882.94 × 882.94
  4. Step 4: Simplify right side
    586.31x = 779,578.63
  5. Step 5: Solve for x
    x = 779,578.63/586.31
  6. Step 6: Final answer
    x = 1,329.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.