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Finding the Third Proportional to 552,028.50 and 822,201.75

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Solution

The third proportional to 552,028.50 and 822,201.75 is: 1,224,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,028.50 : 822,201.75 = 822,201.75 : x
  2. Step 2: Convert to fraction form
    552,028.50/822,201.75 = 822,201.75/x
  3. Step 3: Cross multiply
    552,028.50x = 822,201.75 × 822,201.75
  4. Step 4: Simplify right side
    552,028.50x = 676,015,717,703.06
  5. Step 5: Solve for x
    x = 676,015,717,703.06/552,028.50
  6. Step 6: Final answer
    x = 1,224,602.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.