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Finding the Third Proportional to 393,484 and 847,168.50

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Solution

The third proportional to 393,484 and 847,168.50 is: 1,823,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,484 : 847,168.50 = 847,168.50 : x
  2. Step 2: Convert to fraction form
    393,484/847,168.50 = 847,168.50/x
  3. Step 3: Cross multiply
    393,484x = 847,168.50 × 847,168.50
  4. Step 4: Simplify right side
    393,484x = 717,694,467,392.25
  5. Step 5: Solve for x
    x = 717,694,467,392.25/393,484
  6. Step 6: Final answer
    x = 1,823,948.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.