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Finding the Third Proportional to 482,764 and 675,254

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Solution

The third proportional to 482,764 and 675,254 is: 944,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,764 : 675,254 = 675,254 : x
  2. Step 2: Convert to fraction form
    482,764/675,254 = 675,254/x
  3. Step 3: Cross multiply
    482,764x = 675,254 × 675,254
  4. Step 4: Simplify right side
    482,764x = 455,967,964,516
  5. Step 5: Solve for x
    x = 455,967,964,516/482,764
  6. Step 6: Final answer
    x = 944,494.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.