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Finding the Third Proportional to 512,725 and 795,960

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Solution

The third proportional to 512,725 and 795,960 is: 1,235,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,725 : 795,960 = 795,960 : x
  2. Step 2: Convert to fraction form
    512,725/795,960 = 795,960/x
  3. Step 3: Cross multiply
    512,725x = 795,960 × 795,960
  4. Step 4: Simplify right side
    512,725x = 633,552,321,600
  5. Step 5: Solve for x
    x = 633,552,321,600/512,725
  6. Step 6: Final answer
    x = 1,235,657.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.