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Finding the Third Proportional to 305,843.50 and 633,192.50

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Solution

The third proportional to 305,843.50 and 633,192.50 is: 1,310,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,843.50 : 633,192.50 = 633,192.50 : x
  2. Step 2: Convert to fraction form
    305,843.50/633,192.50 = 633,192.50/x
  3. Step 3: Cross multiply
    305,843.50x = 633,192.50 × 633,192.50
  4. Step 4: Simplify right side
    305,843.50x = 400,932,742,056.25
  5. Step 5: Solve for x
    x = 400,932,742,056.25/305,843.50
  6. Step 6: Final answer
    x = 1,310,908.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.