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Finding the Third Proportional to 304,377.75 and 432,641.25

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Solution

The third proportional to 304,377.75 and 432,641.25 is: 614,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,377.75 : 432,641.25 = 432,641.25 : x
  2. Step 2: Convert to fraction form
    304,377.75/432,641.25 = 432,641.25/x
  3. Step 3: Cross multiply
    304,377.75x = 432,641.25 × 432,641.25
  4. Step 4: Simplify right side
    304,377.75x = 187,178,451,201.56
  5. Step 5: Solve for x
    x = 187,178,451,201.56/304,377.75
  6. Step 6: Final answer
    x = 614,954.45

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.