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Finding the Third Proportional to 518,796 and 785,124

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Solution

The third proportional to 518,796 and 785,124 is: 1,188,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,796 : 785,124 = 785,124 : x
  2. Step 2: Convert to fraction form
    518,796/785,124 = 785,124/x
  3. Step 3: Cross multiply
    518,796x = 785,124 × 785,124
  4. Step 4: Simplify right side
    518,796x = 616,419,695,376
  5. Step 5: Solve for x
    x = 616,419,695,376/518,796
  6. Step 6: Final answer
    x = 1,188,173.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.