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Finding the Third Proportional to 379,154 and 569,703

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Solution

The third proportional to 379,154 and 569,703 is: 856,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,154 : 569,703 = 569,703 : x
  2. Step 2: Convert to fraction form
    379,154/569,703 = 569,703/x
  3. Step 3: Cross multiply
    379,154x = 569,703 × 569,703
  4. Step 4: Simplify right side
    379,154x = 324,561,508,209
  5. Step 5: Solve for x
    x = 324,561,508,209/379,154
  6. Step 6: Final answer
    x = 856,014.99

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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.