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Finding the Third Proportional to 458,544 and 673,722

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Solution

The third proportional to 458,544 and 673,722 is: 989,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,544 : 673,722 = 673,722 : x
  2. Step 2: Convert to fraction form
    458,544/673,722 = 673,722/x
  3. Step 3: Cross multiply
    458,544x = 673,722 × 673,722
  4. Step 4: Simplify right side
    458,544x = 453,901,333,284
  5. Step 5: Solve for x
    x = 453,901,333,284/458,544
  6. Step 6: Final answer
    x = 989,875.20

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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.