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Finding the Third Proportional to 458,922.50 and 980,903

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Solution

The third proportional to 458,922.50 and 980,903 is: 2,096,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,922.50 : 980,903 = 980,903 : x
  2. Step 2: Convert to fraction form
    458,922.50/980,903 = 980,903/x
  3. Step 3: Cross multiply
    458,922.50x = 980,903 × 980,903
  4. Step 4: Simplify right side
    458,922.50x = 962,170,695,409
  5. Step 5: Solve for x
    x = 962,170,695,409/458,922.50
  6. Step 6: Final answer
    x = 2,096,586.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.