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Finding the Third Proportional to 438,502 and 655,990

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Solution

The third proportional to 438,502 and 655,990 is: 981,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,502 : 655,990 = 655,990 : x
  2. Step 2: Convert to fraction form
    438,502/655,990 = 655,990/x
  3. Step 3: Cross multiply
    438,502x = 655,990 × 655,990
  4. Step 4: Simplify right side
    438,502x = 430,322,880,100
  5. Step 5: Solve for x
    x = 430,322,880,100/438,502
  6. Step 6: Final answer
    x = 981,347.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.