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Finding the Third Proportional to 304,813.13 and 452,815.31

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Solution

The third proportional to 304,813.13 and 452,815.31 is: 672,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,813.13 : 452,815.31 = 452,815.31 : x
  2. Step 2: Convert to fraction form
    304,813.13/452,815.31 = 452,815.31/x
  3. Step 3: Cross multiply
    304,813.13x = 452,815.31 × 452,815.31
  4. Step 4: Simplify right side
    304,813.13x = 205,041,707,234.47
  5. Step 5: Solve for x
    x = 205,041,707,234.47/304,813.13
  6. Step 6: Final answer
    x = 672,680.05

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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.