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Finding the Third Proportional to 304,573.50 and 448,031.25

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Solution

The third proportional to 304,573.50 and 448,031.25 is: 659,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,573.50 : 448,031.25 = 448,031.25 : x
  2. Step 2: Convert to fraction form
    304,573.50/448,031.25 = 448,031.25/x
  3. Step 3: Cross multiply
    304,573.50x = 448,031.25 × 448,031.25
  4. Step 4: Simplify right side
    304,573.50x = 200,732,000,976.56
  5. Step 5: Solve for x
    x = 200,732,000,976.56/304,573.50
  6. Step 6: Final answer
    x = 659,059.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.