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Finding the Third Proportional to 345,903 and 441,983.50

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Solution

The third proportional to 345,903 and 441,983.50 is: 564,752.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,903 : 441,983.50 = 441,983.50 : x
  2. Step 2: Convert to fraction form
    345,903/441,983.50 = 441,983.50/x
  3. Step 3: Cross multiply
    345,903x = 441,983.50 × 441,983.50
  4. Step 4: Simplify right side
    345,903x = 195,349,414,272.25
  5. Step 5: Solve for x
    x = 195,349,414,272.25/345,903
  6. Step 6: Final answer
    x = 564,752.01

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.