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Finding the Third Proportional to 282,328 and 587,888

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Solution

The third proportional to 282,328 and 587,888 is: 1,224,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,328 : 587,888 = 587,888 : x
  2. Step 2: Convert to fraction form
    282,328/587,888 = 587,888/x
  3. Step 3: Cross multiply
    282,328x = 587,888 × 587,888
  4. Step 4: Simplify right side
    282,328x = 345,612,300,544
  5. Step 5: Solve for x
    x = 345,612,300,544/282,328
  6. Step 6: Final answer
    x = 1,224,151.70

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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.