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Finding the Third Proportional to 348,057 and 553,832

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Solution

The third proportional to 348,057 and 553,832 is: 881,263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,057 : 553,832 = 553,832 : x
  2. Step 2: Convert to fraction form
    348,057/553,832 = 553,832/x
  3. Step 3: Cross multiply
    348,057x = 553,832 × 553,832
  4. Step 4: Simplify right side
    348,057x = 306,729,884,224
  5. Step 5: Solve for x
    x = 306,729,884,224/348,057
  6. Step 6: Final answer
    x = 881,263.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.