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Finding the Third Proportional to 301,106 and 443,343

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Solution

The third proportional to 301,106 and 443,343 is: 652,770.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,106 : 443,343 = 443,343 : x
  2. Step 2: Convert to fraction form
    301,106/443,343 = 443,343/x
  3. Step 3: Cross multiply
    301,106x = 443,343 × 443,343
  4. Step 4: Simplify right side
    301,106x = 196,553,015,649
  5. Step 5: Solve for x
    x = 196,553,015,649/301,106
  6. Step 6: Final answer
    x = 652,770.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.