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Finding the Third Proportional to 232,669 and 512,475

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Solution

The third proportional to 232,669 and 512,475 is: 1,128,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,669 : 512,475 = 512,475 : x
  2. Step 2: Convert to fraction form
    232,669/512,475 = 512,475/x
  3. Step 3: Cross multiply
    232,669x = 512,475 × 512,475
  4. Step 4: Simplify right side
    232,669x = 262,630,625,625
  5. Step 5: Solve for x
    x = 262,630,625,625/232,669
  6. Step 6: Final answer
    x = 1,128,773.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.