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Finding the Third Proportional to 344,982 and 475,047

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Solution

The third proportional to 344,982 and 475,047 is: 654,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,982 : 475,047 = 475,047 : x
  2. Step 2: Convert to fraction form
    344,982/475,047 = 475,047/x
  3. Step 3: Cross multiply
    344,982x = 475,047 × 475,047
  4. Step 4: Simplify right side
    344,982x = 225,669,652,209
  5. Step 5: Solve for x
    x = 225,669,652,209/344,982
  6. Step 6: Final answer
    x = 654,149.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.