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Finding the Third Proportional to 418,162.50 and 890,271

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Solution

The third proportional to 418,162.50 and 890,271 is: 1,895,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,162.50 : 890,271 = 890,271 : x
  2. Step 2: Convert to fraction form
    418,162.50/890,271 = 890,271/x
  3. Step 3: Cross multiply
    418,162.50x = 890,271 × 890,271
  4. Step 4: Simplify right side
    418,162.50x = 792,582,453,441
  5. Step 5: Solve for x
    x = 792,582,453,441/418,162.50
  6. Step 6: Final answer
    x = 1,895,393.43

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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.