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Finding the Third Proportional to 440,979.75 and 934,949.25

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Solution

The third proportional to 440,979.75 and 934,949.25 is: 1,982,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,979.75 : 934,949.25 = 934,949.25 : x
  2. Step 2: Convert to fraction form
    440,979.75/934,949.25 = 934,949.25/x
  3. Step 3: Cross multiply
    440,979.75x = 934,949.25 × 934,949.25
  4. Step 4: Simplify right side
    440,979.75x = 874,130,100,075.56
  5. Step 5: Solve for x
    x = 874,130,100,075.56/440,979.75
  6. Step 6: Final answer
    x = 1,982,245.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.