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Finding the Third Proportional to 373,846.13 and 822,421.50

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Solution

The third proportional to 373,846.13 and 822,421.50 is: 1,809,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,846.13 : 822,421.50 = 822,421.50 : x
  2. Step 2: Convert to fraction form
    373,846.13/822,421.50 = 822,421.50/x
  3. Step 3: Cross multiply
    373,846.13x = 822,421.50 × 822,421.50
  4. Step 4: Simplify right side
    373,846.13x = 676,377,123,662.25
  5. Step 5: Solve for x
    x = 676,377,123,662.25/373,846.13
  6. Step 6: Final answer
    x = 1,809,239.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.