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Finding the Third Proportional to 373,888 and 822,539

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Solution

The third proportional to 373,888 and 822,539 is: 1,809,553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,888 : 822,539 = 822,539 : x
  2. Step 2: Convert to fraction form
    373,888/822,539 = 822,539/x
  3. Step 3: Cross multiply
    373,888x = 822,539 × 822,539
  4. Step 4: Simplify right side
    373,888x = 676,570,406,521
  5. Step 5: Solve for x
    x = 676,570,406,521/373,888
  6. Step 6: Final answer
    x = 1,809,553.68

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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.