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Finding the Third Proportional to 362,694 and 509,847

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Solution

The third proportional to 362,694 and 509,847 is: 716,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,694 : 509,847 = 509,847 : x
  2. Step 2: Convert to fraction form
    362,694/509,847 = 509,847/x
  3. Step 3: Cross multiply
    362,694x = 509,847 × 509,847
  4. Step 4: Simplify right side
    362,694x = 259,943,963,409
  5. Step 5: Solve for x
    x = 259,943,963,409/362,694
  6. Step 6: Final answer
    x = 716,703.24

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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.