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Finding the Third Proportional to 407,484.50 and 885,021.50

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Solution

The third proportional to 407,484.50 and 885,021.50 is: 1,922,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,484.50 : 885,021.50 = 885,021.50 : x
  2. Step 2: Convert to fraction form
    407,484.50/885,021.50 = 885,021.50/x
  3. Step 3: Cross multiply
    407,484.50x = 885,021.50 × 885,021.50
  4. Step 4: Simplify right side
    407,484.50x = 783,263,055,462.25
  5. Step 5: Solve for x
    x = 783,263,055,462.25/407,484.50
  6. Step 6: Final answer
    x = 1,922,191.04

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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.