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Finding the Third Proportional to 214,867.69 and 463,011.19

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Solution

The third proportional to 214,867.69 and 463,011.19 is: 997,727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,867.69 : 463,011.19 = 463,011.19 : x
  2. Step 2: Convert to fraction form
    214,867.69/463,011.19 = 463,011.19/x
  3. Step 3: Cross multiply
    214,867.69x = 463,011.19 × 463,011.19
  4. Step 4: Simplify right side
    214,867.69x = 214,379,359,750.16
  5. Step 5: Solve for x
    x = 214,379,359,750.16/214,867.69
  6. Step 6: Final answer
    x = 997,727.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.