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Finding the Third Proportional to 335,727 and 474,703

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Solution

The third proportional to 335,727 and 474,703 is: 671,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,727 : 474,703 = 474,703 : x
  2. Step 2: Convert to fraction form
    335,727/474,703 = 474,703/x
  3. Step 3: Cross multiply
    335,727x = 474,703 × 474,703
  4. Step 4: Simplify right side
    335,727x = 225,342,938,209
  5. Step 5: Solve for x
    x = 225,342,938,209/335,727
  6. Step 6: Final answer
    x = 671,208.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.