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Finding the Third Proportional to 304,814.25 and 452,805.75

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Solution

The third proportional to 304,814.25 and 452,805.75 is: 672,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,814.25 : 452,805.75 = 452,805.75 : x
  2. Step 2: Convert to fraction form
    304,814.25/452,805.75 = 452,805.75/x
  3. Step 3: Cross multiply
    304,814.25x = 452,805.75 × 452,805.75
  4. Step 4: Simplify right side
    304,814.25x = 205,033,047,233.06
  5. Step 5: Solve for x
    x = 205,033,047,233.06/304,814.25
  6. Step 6: Final answer
    x = 672,649.15

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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.