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Finding the Third Proportional to 322,949.50 and 754,316

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Solution

The third proportional to 322,949.50 and 754,316 is: 1,761,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,949.50 : 754,316 = 754,316 : x
  2. Step 2: Convert to fraction form
    322,949.50/754,316 = 754,316/x
  3. Step 3: Cross multiply
    322,949.50x = 754,316 × 754,316
  4. Step 4: Simplify right side
    322,949.50x = 568,992,627,856
  5. Step 5: Solve for x
    x = 568,992,627,856/322,949.50
  6. Step 6: Final answer
    x = 1,761,862.54

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.