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Finding the Third Proportional to 418,206 and 890,356.50

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Solution

The third proportional to 418,206 and 890,356.50 is: 1,895,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,206 : 890,356.50 = 890,356.50 : x
  2. Step 2: Convert to fraction form
    418,206/890,356.50 = 890,356.50/x
  3. Step 3: Cross multiply
    418,206x = 890,356.50 × 890,356.50
  4. Step 4: Simplify right side
    418,206x = 792,734,697,092.25
  5. Step 5: Solve for x
    x = 792,734,697,092.25/418,206
  6. Step 6: Final answer
    x = 1,895,560.31

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.