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Finding the Third Proportional to 584.58 and 1,298.93

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Solution

The third proportional to 584.58 and 1,298.93 is: 2,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.58 : 1,298.93 = 1,298.93 : x
  2. Step 2: Convert to fraction form
    584.58/1,298.93 = 1,298.93/x
  3. Step 3: Cross multiply
    584.58x = 1,298.93 × 1,298.93
  4. Step 4: Simplify right side
    584.58x = 1,687,218.33
  5. Step 5: Solve for x
    x = 1,687,218.33/584.58
  6. Step 6: Final answer
    x = 2,886.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.