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Finding the Third Proportional to 459,544 and 673,295

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Solution

The third proportional to 459,544 and 673,295 is: 986,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,544 : 673,295 = 673,295 : x
  2. Step 2: Convert to fraction form
    459,544/673,295 = 673,295/x
  3. Step 3: Cross multiply
    459,544x = 673,295 × 673,295
  4. Step 4: Simplify right side
    459,544x = 453,326,157,025
  5. Step 5: Solve for x
    x = 453,326,157,025/459,544
  6. Step 6: Final answer
    x = 986,469.54

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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.