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Finding the Third Proportional to 463,207.50 and 990,624.38

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Solution

The third proportional to 463,207.50 and 990,624.38 is: 2,118,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,207.50 : 990,624.38 = 990,624.38 : x
  2. Step 2: Convert to fraction form
    463,207.50/990,624.38 = 990,624.38/x
  3. Step 3: Cross multiply
    463,207.50x = 990,624.38 × 990,624.38
  4. Step 4: Simplify right side
    463,207.50x = 981,336,652,344.14
  5. Step 5: Solve for x
    x = 981,336,652,344.14/463,207.50
  6. Step 6: Final answer
    x = 2,118,568.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.