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Finding the Third Proportional to 403,125 and 609,903

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Solution

The third proportional to 403,125 and 609,903 is: 922,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,125 : 609,903 = 609,903 : x
  2. Step 2: Convert to fraction form
    403,125/609,903 = 609,903/x
  3. Step 3: Cross multiply
    403,125x = 609,903 × 609,903
  4. Step 4: Simplify right side
    403,125x = 371,981,669,409
  5. Step 5: Solve for x
    x = 371,981,669,409/403,125
  6. Step 6: Final answer
    x = 922,745.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.