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Finding the Third Proportional to 411,219.50 and 916,990.75

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Solution

The third proportional to 411,219.50 and 916,990.75 is: 2,044,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,219.50 : 916,990.75 = 916,990.75 : x
  2. Step 2: Convert to fraction form
    411,219.50/916,990.75 = 916,990.75/x
  3. Step 3: Cross multiply
    411,219.50x = 916,990.75 × 916,990.75
  4. Step 4: Simplify right side
    411,219.50x = 840,872,035,585.56
  5. Step 5: Solve for x
    x = 840,872,035,585.56/411,219.50
  6. Step 6: Final answer
    x = 2,044,825.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.