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Finding the Third Proportional to 367,014 and 808,533

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Solution

The third proportional to 367,014 and 808,533 is: 1,781,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,014 : 808,533 = 808,533 : x
  2. Step 2: Convert to fraction form
    367,014/808,533 = 808,533/x
  3. Step 3: Cross multiply
    367,014x = 808,533 × 808,533
  4. Step 4: Simplify right side
    367,014x = 653,725,612,089
  5. Step 5: Solve for x
    x = 653,725,612,089/367,014
  6. Step 6: Final answer
    x = 1,781,200.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.