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Finding the Third Proportional to 378,725.06 and 809,938.13

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Solution

The third proportional to 378,725.06 and 809,938.13 is: 1,732,126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,725.06 : 809,938.13 = 809,938.13 : x
  2. Step 2: Convert to fraction form
    378,725.06/809,938.13 = 809,938.13/x
  3. Step 3: Cross multiply
    378,725.06x = 809,938.13 × 809,938.13
  4. Step 4: Simplify right side
    378,725.06x = 655,999,766,328.52
  5. Step 5: Solve for x
    x = 655,999,766,328.52/378,725.06
  6. Step 6: Final answer
    x = 1,732,126.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.