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Finding the Third Proportional to 344,790 and 535,227

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Solution

The third proportional to 344,790 and 535,227 is: 830,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,790 : 535,227 = 535,227 : x
  2. Step 2: Convert to fraction form
    344,790/535,227 = 535,227/x
  3. Step 3: Cross multiply
    344,790x = 535,227 × 535,227
  4. Step 4: Simplify right side
    344,790x = 286,467,941,529
  5. Step 5: Solve for x
    x = 286,467,941,529/344,790
  6. Step 6: Final answer
    x = 830,847.59

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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.