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Finding the Third Proportional to 457,263 and 616,824

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Solution

The third proportional to 457,263 and 616,824 is: 832,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,263 : 616,824 = 616,824 : x
  2. Step 2: Convert to fraction form
    457,263/616,824 = 616,824/x
  3. Step 3: Cross multiply
    457,263x = 616,824 × 616,824
  4. Step 4: Simplify right side
    457,263x = 380,471,846,976
  5. Step 5: Solve for x
    x = 380,471,846,976/457,263
  6. Step 6: Final answer
    x = 832,063.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.