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Finding the Third Proportional to 319,366 and 500,991

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Solution

The third proportional to 319,366 and 500,991 is: 785,907.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,366 : 500,991 = 500,991 : x
  2. Step 2: Convert to fraction form
    319,366/500,991 = 500,991/x
  3. Step 3: Cross multiply
    319,366x = 500,991 × 500,991
  4. Step 4: Simplify right side
    319,366x = 250,991,982,081
  5. Step 5: Solve for x
    x = 250,991,982,081/319,366
  6. Step 6: Final answer
    x = 785,907.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.