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Finding the Third Proportional to 521,100 and 782,903

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Solution

The third proportional to 521,100 and 782,903 is: 1,176,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,100 : 782,903 = 782,903 : x
  2. Step 2: Convert to fraction form
    521,100/782,903 = 782,903/x
  3. Step 3: Cross multiply
    521,100x = 782,903 × 782,903
  4. Step 4: Simplify right side
    521,100x = 612,937,107,409
  5. Step 5: Solve for x
    x = 612,937,107,409/521,100
  6. Step 6: Final answer
    x = 1,176,237.01

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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.