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Finding the Third Proportional to 207,901.69 and 430,064.44

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Solution

The third proportional to 207,901.69 and 430,064.44 is: 889,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,901.69 : 430,064.44 = 430,064.44 : x
  2. Step 2: Convert to fraction form
    207,901.69/430,064.44 = 430,064.44/x
  3. Step 3: Cross multiply
    207,901.69x = 430,064.44 × 430,064.44
  4. Step 4: Simplify right side
    207,901.69x = 184,955,420,402.19
  5. Step 5: Solve for x
    x = 184,955,420,402.19/207,901.69
  6. Step 6: Final answer
    x = 889,629.24

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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.