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Finding the Third Proportional to 528,028 and 818,016

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Solution

The third proportional to 528,028 and 818,016 is: 1,267,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,028 : 818,016 = 818,016 : x
  2. Step 2: Convert to fraction form
    528,028/818,016 = 818,016/x
  3. Step 3: Cross multiply
    528,028x = 818,016 × 818,016
  4. Step 4: Simplify right side
    528,028x = 669,150,176,256
  5. Step 5: Solve for x
    x = 669,150,176,256/528,028
  6. Step 6: Final answer
    x = 1,267,262.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.