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Finding the Third Proportional to 605,110.50 and 822,241.13

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Solution

The third proportional to 605,110.50 and 822,241.13 is: 1,117,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,110.50 : 822,241.13 = 822,241.13 : x
  2. Step 2: Convert to fraction form
    605,110.50/822,241.13 = 822,241.13/x
  3. Step 3: Cross multiply
    605,110.50x = 822,241.13 × 822,241.13
  4. Step 4: Simplify right side
    605,110.50x = 676,080,467,641.27
  5. Step 5: Solve for x
    x = 676,080,467,641.27/605,110.50
  6. Step 6: Final answer
    x = 1,117,284.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.