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Finding the Third Proportional to 337,482 and 501,035

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Solution

The third proportional to 337,482 and 501,035 is: 743,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,482 : 501,035 = 501,035 : x
  2. Step 2: Convert to fraction form
    337,482/501,035 = 501,035/x
  3. Step 3: Cross multiply
    337,482x = 501,035 × 501,035
  4. Step 4: Simplify right side
    337,482x = 251,036,071,225
  5. Step 5: Solve for x
    x = 251,036,071,225/337,482
  6. Step 6: Final answer
    x = 743,850.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.