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Finding the Third Proportional to 244,089 and 377,909

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Solution

The third proportional to 244,089 and 377,909 is: 585,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,089 : 377,909 = 377,909 : x
  2. Step 2: Convert to fraction form
    244,089/377,909 = 377,909/x
  3. Step 3: Cross multiply
    244,089x = 377,909 × 377,909
  4. Step 4: Simplify right side
    244,089x = 142,815,212,281
  5. Step 5: Solve for x
    x = 142,815,212,281/244,089
  6. Step 6: Final answer
    x = 585,094.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.