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Finding the Third Proportional to 269,959.50 and 584,631

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Solution

The third proportional to 269,959.50 and 584,631 is: 1,266,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,959.50 : 584,631 = 584,631 : x
  2. Step 2: Convert to fraction form
    269,959.50/584,631 = 584,631/x
  3. Step 3: Cross multiply
    269,959.50x = 584,631 × 584,631
  4. Step 4: Simplify right side
    269,959.50x = 341,793,406,161
  5. Step 5: Solve for x
    x = 341,793,406,161/269,959.50
  6. Step 6: Final answer
    x = 1,266,091.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.