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Finding the Third Proportional to 584.81 and 872.06

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Solution

The third proportional to 584.81 and 872.06 is: 1,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.81 : 872.06 = 872.06 : x
  2. Step 2: Convert to fraction form
    584.81/872.06 = 872.06/x
  3. Step 3: Cross multiply
    584.81x = 872.06 × 872.06
  4. Step 4: Simplify right side
    584.81x = 760,493.00
  5. Step 5: Solve for x
    x = 760,493.00/584.81
  6. Step 6: Final answer
    x = 1,300.40

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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.