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Finding the Third Proportional to 244,051 and 447,602

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Solution

The third proportional to 244,051 and 447,602 is: 820,924.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,051 : 447,602 = 447,602 : x
  2. Step 2: Convert to fraction form
    244,051/447,602 = 447,602/x
  3. Step 3: Cross multiply
    244,051x = 447,602 × 447,602
  4. Step 4: Simplify right side
    244,051x = 200,347,550,404
  5. Step 5: Solve for x
    x = 200,347,550,404/244,051
  6. Step 6: Final answer
    x = 820,924.93

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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.