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Finding the Third Proportional to 304,818.19 and 452,812.78

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Solution

The third proportional to 304,818.19 and 452,812.78 is: 672,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,818.19 : 452,812.78 = 452,812.78 : x
  2. Step 2: Convert to fraction form
    304,818.19/452,812.78 = 452,812.78/x
  3. Step 3: Cross multiply
    304,818.19x = 452,812.78 × 452,812.78
  4. Step 4: Simplify right side
    304,818.19x = 205,039,414,863.36
  5. Step 5: Solve for x
    x = 205,039,414,863.36/304,818.19
  6. Step 6: Final answer
    x = 672,661.35

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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.