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Finding the Third Proportional to 304,855.84 and 452,862.77

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Solution

The third proportional to 304,855.84 and 452,862.77 is: 672,726.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,855.84 : 452,862.77 = 452,862.77 : x
  2. Step 2: Convert to fraction form
    304,855.84/452,862.77 = 452,862.77/x
  3. Step 3: Cross multiply
    304,855.84x = 452,862.77 × 452,862.77
  4. Step 4: Simplify right side
    304,855.84x = 205,084,691,565.50
  5. Step 5: Solve for x
    x = 205,084,691,565.50/304,855.84
  6. Step 6: Final answer
    x = 672,726.79

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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.