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Finding the Third Proportional to 566,346.94 and 822,772.69

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Solution

The third proportional to 566,346.94 and 822,772.69 is: 1,195,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,346.94 : 822,772.69 = 822,772.69 : x
  2. Step 2: Convert to fraction form
    566,346.94/822,772.69 = 822,772.69/x
  3. Step 3: Cross multiply
    566,346.94x = 822,772.69 × 822,772.69
  4. Step 4: Simplify right side
    566,346.94x = 676,954,895,295.97
  5. Step 5: Solve for x
    x = 676,954,895,295.97/566,346.94
  6. Step 6: Final answer
    x = 1,195,300.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.