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Finding the Third Proportional to 309,909 and 478,533

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Solution

The third proportional to 309,909 and 478,533 is: 738,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,909 : 478,533 = 478,533 : x
  2. Step 2: Convert to fraction form
    309,909/478,533 = 478,533/x
  3. Step 3: Cross multiply
    309,909x = 478,533 × 478,533
  4. Step 4: Simplify right side
    309,909x = 228,993,832,089
  5. Step 5: Solve for x
    x = 228,993,832,089/309,909
  6. Step 6: Final answer
    x = 738,906.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.