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Finding the Third Proportional to 566,350.50 and 822,777

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Solution

The third proportional to 566,350.50 and 822,777 is: 1,195,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,350.50 : 822,777 = 822,777 : x
  2. Step 2: Convert to fraction form
    566,350.50/822,777 = 822,777/x
  3. Step 3: Cross multiply
    566,350.50x = 822,777 × 822,777
  4. Step 4: Simplify right side
    566,350.50x = 676,961,991,729
  5. Step 5: Solve for x
    x = 676,961,991,729/566,350.50
  6. Step 6: Final answer
    x = 1,195,305.72

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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.