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Finding the Third Proportional to 244,045 and 447,590

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Solution

The third proportional to 244,045 and 447,590 is: 820,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,045 : 447,590 = 447,590 : x
  2. Step 2: Convert to fraction form
    244,045/447,590 = 447,590/x
  3. Step 3: Cross multiply
    244,045x = 447,590 × 447,590
  4. Step 4: Simplify right side
    244,045x = 200,336,808,100
  5. Step 5: Solve for x
    x = 200,336,808,100/244,045
  6. Step 6: Final answer
    x = 820,901.10

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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.