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Finding the Third Proportional to 584.48 and 868.36

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Solution

The third proportional to 584.48 and 868.36 is: 1,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.48 : 868.36 = 868.36 : x
  2. Step 2: Convert to fraction form
    584.48/868.36 = 868.36/x
  3. Step 3: Cross multiply
    584.48x = 868.36 × 868.36
  4. Step 4: Simplify right side
    584.48x = 754,048.00
  5. Step 5: Solve for x
    x = 754,048.00/584.48
  6. Step 6: Final answer
    x = 1,290.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.