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Finding the Third Proportional to 309,265 and 478,861

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Solution

The third proportional to 309,265 and 478,861 is: 741,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,265 : 478,861 = 478,861 : x
  2. Step 2: Convert to fraction form
    309,265/478,861 = 478,861/x
  3. Step 3: Cross multiply
    309,265x = 478,861 × 478,861
  4. Step 4: Simplify right side
    309,265x = 229,307,857,321
  5. Step 5: Solve for x
    x = 229,307,857,321/309,265
  6. Step 6: Final answer
    x = 741,460.75

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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.