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Finding the Third Proportional to 454,891.50 and 673,465.50

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Solution

The third proportional to 454,891.50 and 673,465.50 is: 997,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,891.50 : 673,465.50 = 673,465.50 : x
  2. Step 2: Convert to fraction form
    454,891.50/673,465.50 = 673,465.50/x
  3. Step 3: Cross multiply
    454,891.50x = 673,465.50 × 673,465.50
  4. Step 4: Simplify right side
    454,891.50x = 453,555,779,690.25
  5. Step 5: Solve for x
    x = 453,555,779,690.25/454,891.50
  6. Step 6: Final answer
    x = 997,063.65

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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.