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Finding the Third Proportional to 454,875.75 and 673,449.19

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Solution

The third proportional to 454,875.75 and 673,449.19 is: 997,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,875.75 : 673,449.19 = 673,449.19 : x
  2. Step 2: Convert to fraction form
    454,875.75/673,449.19 = 673,449.19/x
  3. Step 3: Cross multiply
    454,875.75x = 673,449.19 × 673,449.19
  4. Step 4: Simplify right side
    454,875.75x = 453,533,808,144.41
  5. Step 5: Solve for x
    x = 453,533,808,144.41/454,875.75
  6. Step 6: Final answer
    x = 997,049.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.