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Finding the Third Proportional to 407,633 and 885,500

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Solution

The third proportional to 407,633 and 885,500 is: 1,923,569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,633 : 885,500 = 885,500 : x
  2. Step 2: Convert to fraction form
    407,633/885,500 = 885,500/x
  3. Step 3: Cross multiply
    407,633x = 885,500 × 885,500
  4. Step 4: Simplify right side
    407,633x = 784,110,250,000
  5. Step 5: Solve for x
    x = 784,110,250,000/407,633
  6. Step 6: Final answer
    x = 1,923,569.12

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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.