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Finding the Third Proportional to 304,141.50 and 453,721.50

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Solution

The third proportional to 304,141.50 and 453,721.50 is: 676,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,141.50 : 453,721.50 = 453,721.50 : x
  2. Step 2: Convert to fraction form
    304,141.50/453,721.50 = 453,721.50/x
  3. Step 3: Cross multiply
    304,141.50x = 453,721.50 × 453,721.50
  4. Step 4: Simplify right side
    304,141.50x = 205,863,199,562.25
  5. Step 5: Solve for x
    x = 205,863,199,562.25/304,141.50
  6. Step 6: Final answer
    x = 676,866.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.