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Finding the Third Proportional to 304,906.13 and 446,424

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Solution

The third proportional to 304,906.13 and 446,424 is: 653,625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,906.13 : 446,424 = 446,424 : x
  2. Step 2: Convert to fraction form
    304,906.13/446,424 = 446,424/x
  3. Step 3: Cross multiply
    304,906.13x = 446,424 × 446,424
  4. Step 4: Simplify right side
    304,906.13x = 199,294,387,776
  5. Step 5: Solve for x
    x = 199,294,387,776/304,906.13
  6. Step 6: Final answer
    x = 653,625.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.