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Finding the Third Proportional to 459,541.50 and 673,292.25

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Solution

The third proportional to 459,541.50 and 673,292.25 is: 986,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,541.50 : 673,292.25 = 673,292.25 : x
  2. Step 2: Convert to fraction form
    459,541.50/673,292.25 = 673,292.25/x
  3. Step 3: Cross multiply
    459,541.50x = 673,292.25 × 673,292.25
  4. Step 4: Simplify right side
    459,541.50x = 453,322,453,910.06
  5. Step 5: Solve for x
    x = 453,322,453,910.06/459,541.50
  6. Step 6: Final answer
    x = 986,466.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.