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Finding the Third Proportional to 217,136 and 478,444

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Solution

The third proportional to 217,136 and 478,444 is: 1,054,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,136 : 478,444 = 478,444 : x
  2. Step 2: Convert to fraction form
    217,136/478,444 = 478,444/x
  3. Step 3: Cross multiply
    217,136x = 478,444 × 478,444
  4. Step 4: Simplify right side
    217,136x = 228,908,661,136
  5. Step 5: Solve for x
    x = 228,908,661,136/217,136
  6. Step 6: Final answer
    x = 1,054,217.91

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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.