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Finding the Third Proportional to 207,747.91 and 448,710.89

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Solution

The third proportional to 207,747.91 and 448,710.89 is: 969,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,747.91 : 448,710.89 = 448,710.89 : x
  2. Step 2: Convert to fraction form
    207,747.91/448,710.89 = 448,710.89/x
  3. Step 3: Cross multiply
    207,747.91x = 448,710.89 × 448,710.89
  4. Step 4: Simplify right side
    207,747.91x = 201,341,463,365.48
  5. Step 5: Solve for x
    x = 201,341,463,365.48/207,747.91
  6. Step 6: Final answer
    x = 969,162.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.