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Finding the Third Proportional to 219,222 and 478,629

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Solution

The third proportional to 219,222 and 478,629 is: 1,044,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,222 : 478,629 = 478,629 : x
  2. Step 2: Convert to fraction form
    219,222/478,629 = 478,629/x
  3. Step 3: Cross multiply
    219,222x = 478,629 × 478,629
  4. Step 4: Simplify right side
    219,222x = 229,085,719,641
  5. Step 5: Solve for x
    x = 229,085,719,641/219,222
  6. Step 6: Final answer
    x = 1,044,994.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.