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Finding the Third Proportional to 457,244 and 616,800

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Solution

The third proportional to 457,244 and 616,800 is: 832,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,244 : 616,800 = 616,800 : x
  2. Step 2: Convert to fraction form
    457,244/616,800 = 616,800/x
  3. Step 3: Cross multiply
    457,244x = 616,800 × 616,800
  4. Step 4: Simplify right side
    457,244x = 380,442,240,000
  5. Step 5: Solve for x
    x = 380,442,240,000/457,244
  6. Step 6: Final answer
    x = 832,033.31

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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.