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Finding the Third Proportional to 304,811 and 452,800.75

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Solution

The third proportional to 304,811 and 452,800.75 is: 672,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,811 : 452,800.75 = 452,800.75 : x
  2. Step 2: Convert to fraction form
    304,811/452,800.75 = 452,800.75/x
  3. Step 3: Cross multiply
    304,811x = 452,800.75 × 452,800.75
  4. Step 4: Simplify right side
    304,811x = 205,028,519,200.56
  5. Step 5: Solve for x
    x = 205,028,519,200.56/304,811
  6. Step 6: Final answer
    x = 672,641.47

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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.