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Finding the Third Proportional to 407,480.63 and 885,246.47

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Solution

The third proportional to 407,480.63 and 885,246.47 is: 1,923,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,480.63 : 885,246.47 = 885,246.47 : x
  2. Step 2: Convert to fraction form
    407,480.63/885,246.47 = 885,246.47/x
  3. Step 3: Cross multiply
    407,480.63x = 885,246.47 × 885,246.47
  4. Step 4: Simplify right side
    407,480.63x = 783,661,310,434.35
  5. Step 5: Solve for x
    x = 783,661,310,434.35/407,480.63
  6. Step 6: Final answer
    x = 1,923,186.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.