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Finding the Third Proportional to 340,593.75 and 802,873.50

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Solution

The third proportional to 340,593.75 and 802,873.50 is: 1,892,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,593.75 : 802,873.50 = 802,873.50 : x
  2. Step 2: Convert to fraction form
    340,593.75/802,873.50 = 802,873.50/x
  3. Step 3: Cross multiply
    340,593.75x = 802,873.50 × 802,873.50
  4. Step 4: Simplify right side
    340,593.75x = 644,605,857,002.25
  5. Step 5: Solve for x
    x = 644,605,857,002.25/340,593.75
  6. Step 6: Final answer
    x = 1,892,594.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.