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Finding the Third Proportional to 244,047 and 447,594

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Solution

The third proportional to 244,047 and 447,594 is: 820,909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,047 : 447,594 = 447,594 : x
  2. Step 2: Convert to fraction form
    244,047/447,594 = 447,594/x
  3. Step 3: Cross multiply
    244,047x = 447,594 × 447,594
  4. Step 4: Simplify right side
    244,047x = 200,340,388,836
  5. Step 5: Solve for x
    x = 200,340,388,836/244,047
  6. Step 6: Final answer
    x = 820,909.04

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.