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Finding the Third Proportional to 377,772.75 and 822,006

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Solution

The third proportional to 377,772.75 and 822,006 is: 1,788,625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,772.75 : 822,006 = 822,006 : x
  2. Step 2: Convert to fraction form
    377,772.75/822,006 = 822,006/x
  3. Step 3: Cross multiply
    377,772.75x = 822,006 × 822,006
  4. Step 4: Simplify right side
    377,772.75x = 675,693,864,036
  5. Step 5: Solve for x
    x = 675,693,864,036/377,772.75
  6. Step 6: Final answer
    x = 1,788,625.21

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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.