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Finding the Third Proportional to 492,160 and 759,227

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Solution

The third proportional to 492,160 and 759,227 is: 1,171,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,160 : 759,227 = 759,227 : x
  2. Step 2: Convert to fraction form
    492,160/759,227 = 759,227/x
  3. Step 3: Cross multiply
    492,160x = 759,227 × 759,227
  4. Step 4: Simplify right side
    492,160x = 576,425,637,529
  5. Step 5: Solve for x
    x = 576,425,637,529/492,160
  6. Step 6: Final answer
    x = 1,171,215.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.