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Finding the Third Proportional to 534,216 and 799,628

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Solution

The third proportional to 534,216 and 799,628 is: 1,196,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,216 : 799,628 = 799,628 : x
  2. Step 2: Convert to fraction form
    534,216/799,628 = 799,628/x
  3. Step 3: Cross multiply
    534,216x = 799,628 × 799,628
  4. Step 4: Simplify right side
    534,216x = 639,404,938,384
  5. Step 5: Solve for x
    x = 639,404,938,384/534,216
  6. Step 6: Final answer
    x = 1,196,903.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.