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Finding the Third Proportional to 361,580 and 792,088

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Solution

The third proportional to 361,580 and 792,088 is: 1,735,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,580 : 792,088 = 792,088 : x
  2. Step 2: Convert to fraction form
    361,580/792,088 = 792,088/x
  3. Step 3: Cross multiply
    361,580x = 792,088 × 792,088
  4. Step 4: Simplify right side
    361,580x = 627,403,399,744
  5. Step 5: Solve for x
    x = 627,403,399,744/361,580
  6. Step 6: Final answer
    x = 1,735,171.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.