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Finding the Third Proportional to 315,922 and 500,163

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Solution

The third proportional to 315,922 and 500,163 is: 791,850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,922 : 500,163 = 500,163 : x
  2. Step 2: Convert to fraction form
    315,922/500,163 = 500,163/x
  3. Step 3: Cross multiply
    315,922x = 500,163 × 500,163
  4. Step 4: Simplify right side
    315,922x = 250,163,026,569
  5. Step 5: Solve for x
    x = 250,163,026,569/315,922
  6. Step 6: Final answer
    x = 791,850.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.