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Finding the Third Proportional to 442,870.50 and 941,100

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Solution

The third proportional to 442,870.50 and 941,100 is: 1,999,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,870.50 : 941,100 = 941,100 : x
  2. Step 2: Convert to fraction form
    442,870.50/941,100 = 941,100/x
  3. Step 3: Cross multiply
    442,870.50x = 941,100 × 941,100
  4. Step 4: Simplify right side
    442,870.50x = 885,669,210,000
  5. Step 5: Solve for x
    x = 885,669,210,000/442,870.50
  6. Step 6: Final answer
    x = 1,999,837.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.