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Finding the Third Proportional to 244,044 and 447,588

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Solution

The third proportional to 244,044 and 447,588 is: 820,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,044 : 447,588 = 447,588 : x
  2. Step 2: Convert to fraction form
    244,044/447,588 = 447,588/x
  3. Step 3: Cross multiply
    244,044x = 447,588 × 447,588
  4. Step 4: Simplify right side
    244,044x = 200,335,017,744
  5. Step 5: Solve for x
    x = 200,335,017,744/244,044
  6. Step 6: Final answer
    x = 820,897.12

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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.