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Finding the Third Proportional to 284,214 and 621,918

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Solution

The third proportional to 284,214 and 621,918 is: 1,360,882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,214 : 621,918 = 621,918 : x
  2. Step 2: Convert to fraction form
    284,214/621,918 = 621,918/x
  3. Step 3: Cross multiply
    284,214x = 621,918 × 621,918
  4. Step 4: Simplify right side
    284,214x = 386,781,998,724
  5. Step 5: Solve for x
    x = 386,781,998,724/284,214
  6. Step 6: Final answer
    x = 1,360,882.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.