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Finding the Third Proportional to 268,339.50 and 584,631

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Solution

The third proportional to 268,339.50 and 584,631 is: 1,273,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,339.50 : 584,631 = 584,631 : x
  2. Step 2: Convert to fraction form
    268,339.50/584,631 = 584,631/x
  3. Step 3: Cross multiply
    268,339.50x = 584,631 × 584,631
  4. Step 4: Simplify right side
    268,339.50x = 341,793,406,161
  5. Step 5: Solve for x
    x = 341,793,406,161/268,339.50
  6. Step 6: Final answer
    x = 1,273,734.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.