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Finding the Third Proportional to 457,236 and 616,788

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Solution

The third proportional to 457,236 and 616,788 is: 832,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,236 : 616,788 = 616,788 : x
  2. Step 2: Convert to fraction form
    457,236/616,788 = 616,788/x
  3. Step 3: Cross multiply
    457,236x = 616,788 × 616,788
  4. Step 4: Simplify right side
    457,236x = 380,427,436,944
  5. Step 5: Solve for x
    x = 380,427,436,944/457,236
  6. Step 6: Final answer
    x = 832,015.50

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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.