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Finding the Third Proportional to 337,509 and 492,939

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Solution

The third proportional to 337,509 and 492,939 is: 719,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,509 : 492,939 = 492,939 : x
  2. Step 2: Convert to fraction form
    337,509/492,939 = 492,939/x
  3. Step 3: Cross multiply
    337,509x = 492,939 × 492,939
  4. Step 4: Simplify right side
    337,509x = 242,988,857,721
  5. Step 5: Solve for x
    x = 242,988,857,721/337,509
  6. Step 6: Final answer
    x = 719,947.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.