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Finding the Third Proportional to 458,772 and 633,940

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Solution

The third proportional to 458,772 and 633,940 is: 875,990.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,772 : 633,940 = 633,940 : x
  2. Step 2: Convert to fraction form
    458,772/633,940 = 633,940/x
  3. Step 3: Cross multiply
    458,772x = 633,940 × 633,940
  4. Step 4: Simplify right side
    458,772x = 401,879,923,600
  5. Step 5: Solve for x
    x = 401,879,923,600/458,772
  6. Step 6: Final answer
    x = 875,990.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.