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Finding the Third Proportional to 303,903 and 652,113

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Solution

The third proportional to 303,903 and 652,113 is: 1,399,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,903 : 652,113 = 652,113 : x
  2. Step 2: Convert to fraction form
    303,903/652,113 = 652,113/x
  3. Step 3: Cross multiply
    303,903x = 652,113 × 652,113
  4. Step 4: Simplify right side
    303,903x = 425,251,364,769
  5. Step 5: Solve for x
    x = 425,251,364,769/303,903
  6. Step 6: Final answer
    x = 1,399,299.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.