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Finding the Third Proportional to 348,583.50 and 573,966

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Solution

The third proportional to 348,583.50 and 573,966 is: 945,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,583.50 : 573,966 = 573,966 : x
  2. Step 2: Convert to fraction form
    348,583.50/573,966 = 573,966/x
  3. Step 3: Cross multiply
    348,583.50x = 573,966 × 573,966
  4. Step 4: Simplify right side
    348,583.50x = 329,436,969,156
  5. Step 5: Solve for x
    x = 329,436,969,156/348,583.50
  6. Step 6: Final answer
    x = 945,073.33

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.