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Finding the Third Proportional to 281,920.50 and 587,169

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Solution

The third proportional to 281,920.50 and 587,169 is: 1,222,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,920.50 : 587,169 = 587,169 : x
  2. Step 2: Convert to fraction form
    281,920.50/587,169 = 587,169/x
  3. Step 3: Cross multiply
    281,920.50x = 587,169 × 587,169
  4. Step 4: Simplify right side
    281,920.50x = 344,767,434,561
  5. Step 5: Solve for x
    x = 344,767,434,561/281,920.50
  6. Step 6: Final answer
    x = 1,222,924.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.