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Finding the Third Proportional to 353,106 and 547,099

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Solution

The third proportional to 353,106 and 547,099 is: 847,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,106 : 547,099 = 547,099 : x
  2. Step 2: Convert to fraction form
    353,106/547,099 = 547,099/x
  3. Step 3: Cross multiply
    353,106x = 547,099 × 547,099
  4. Step 4: Simplify right side
    353,106x = 299,317,315,801
  5. Step 5: Solve for x
    x = 299,317,315,801/353,106
  6. Step 6: Final answer
    x = 847,669.87

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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.