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Finding the Third Proportional to 304,569 and 448,024.50

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Solution

The third proportional to 304,569 and 448,024.50 is: 659,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,569 : 448,024.50 = 448,024.50 : x
  2. Step 2: Convert to fraction form
    304,569/448,024.50 = 448,024.50/x
  3. Step 3: Cross multiply
    304,569x = 448,024.50 × 448,024.50
  4. Step 4: Simplify right side
    304,569x = 200,725,952,600.25
  5. Step 5: Solve for x
    x = 200,725,952,600.25/304,569
  6. Step 6: Final answer
    x = 659,049.19

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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.