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Finding the Third Proportional to 309,266 and 478,864

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Solution

The third proportional to 309,266 and 478,864 is: 741,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,266 : 478,864 = 478,864 : x
  2. Step 2: Convert to fraction form
    309,266/478,864 = 478,864/x
  3. Step 3: Cross multiply
    309,266x = 478,864 × 478,864
  4. Step 4: Simplify right side
    309,266x = 229,310,730,496
  5. Step 5: Solve for x
    x = 229,310,730,496/309,266
  6. Step 6: Final answer
    x = 741,467.64

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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.