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Finding the Third Proportional to 304,872.75 and 452,900.25

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Solution

The third proportional to 304,872.75 and 452,900.25 is: 672,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,872.75 : 452,900.25 = 452,900.25 : x
  2. Step 2: Convert to fraction form
    304,872.75/452,900.25 = 452,900.25/x
  3. Step 3: Cross multiply
    304,872.75x = 452,900.25 × 452,900.25
  4. Step 4: Simplify right side
    304,872.75x = 205,118,636,450.06
  5. Step 5: Solve for x
    x = 205,118,636,450.06/304,872.75
  6. Step 6: Final answer
    x = 672,800.82

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Why These Related Problems?

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