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Finding the Third Proportional to 384,564 and 819,168

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Solution

The third proportional to 384,564 and 819,168 is: 1,744,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,564 : 819,168 = 819,168 : x
  2. Step 2: Convert to fraction form
    384,564/819,168 = 819,168/x
  3. Step 3: Cross multiply
    384,564x = 819,168 × 819,168
  4. Step 4: Simplify right side
    384,564x = 671,036,212,224
  5. Step 5: Solve for x
    x = 671,036,212,224/384,564
  6. Step 6: Final answer
    x = 1,744,927.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.