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Finding the Third Proportional to 443,222 and 728,166

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Solution

The third proportional to 443,222 and 728,166 is: 1,196,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,222 : 728,166 = 728,166 : x
  2. Step 2: Convert to fraction form
    443,222/728,166 = 728,166/x
  3. Step 3: Cross multiply
    443,222x = 728,166 × 728,166
  4. Step 4: Simplify right side
    443,222x = 530,225,723,556
  5. Step 5: Solve for x
    x = 530,225,723,556/443,222
  6. Step 6: Final answer
    x = 1,196,298.30

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.