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Finding the Third Proportional to 448,800.75 and 673,201.13

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Solution

The third proportional to 448,800.75 and 673,201.13 is: 1,009,801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,800.75 : 673,201.13 = 673,201.13 : x
  2. Step 2: Convert to fraction form
    448,800.75/673,201.13 = 673,201.13/x
  3. Step 3: Cross multiply
    448,800.75x = 673,201.13 × 673,201.13
  4. Step 4: Simplify right side
    448,800.75x = 453,199,754,701.27
  5. Step 5: Solve for x
    x = 453,199,754,701.27/448,800.75
  6. Step 6: Final answer
    x = 1,009,801.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.