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Finding the Third Proportional to 385,094.25 and 899,859.38

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Solution

The third proportional to 385,094.25 and 899,859.38 is: 2,102,723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,094.25 : 899,859.38 = 899,859.38 : x
  2. Step 2: Convert to fraction form
    385,094.25/899,859.38 = 899,859.38/x
  3. Step 3: Cross multiply
    385,094.25x = 899,859.38 × 899,859.38
  4. Step 4: Simplify right side
    385,094.25x = 809,746,894,775.39
  5. Step 5: Solve for x
    x = 809,746,894,775.39/385,094.25
  6. Step 6: Final answer
    x = 2,102,723.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.