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Finding the Third Proportional to 217,129 and 478,431

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Solution

The third proportional to 217,129 and 478,431 is: 1,054,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,129 : 478,431 = 478,431 : x
  2. Step 2: Convert to fraction form
    217,129/478,431 = 478,431/x
  3. Step 3: Cross multiply
    217,129x = 478,431 × 478,431
  4. Step 4: Simplify right side
    217,129x = 228,896,221,761
  5. Step 5: Solve for x
    x = 228,896,221,761/217,129
  6. Step 6: Final answer
    x = 1,054,194.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.