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Finding the Third Proportional to 315,067 and 478,426

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Solution

The third proportional to 315,067 and 478,426 is: 726,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,067 : 478,426 = 478,426 : x
  2. Step 2: Convert to fraction form
    315,067/478,426 = 478,426/x
  3. Step 3: Cross multiply
    315,067x = 478,426 × 478,426
  4. Step 4: Simplify right side
    315,067x = 228,891,437,476
  5. Step 5: Solve for x
    x = 228,891,437,476/315,067
  6. Step 6: Final answer
    x = 726,484.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.