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Finding the Third Proportional to 387,628.88 and 822,156.75

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Solution

The third proportional to 387,628.88 and 822,156.75 is: 1,743,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,628.88 : 822,156.75 = 822,156.75 : x
  2. Step 2: Convert to fraction form
    387,628.88/822,156.75 = 822,156.75/x
  3. Step 3: Cross multiply
    387,628.88x = 822,156.75 × 822,156.75
  4. Step 4: Simplify right side
    387,628.88x = 675,941,721,570.56
  5. Step 5: Solve for x
    x = 675,941,721,570.56/387,628.88
  6. Step 6: Final answer
    x = 1,743,785.78

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.