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Finding the Third Proportional to 612,338 and 965,466

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Solution

The third proportional to 612,338 and 965,466 is: 1,522,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,338 : 965,466 = 965,466 : x
  2. Step 2: Convert to fraction form
    612,338/965,466 = 965,466/x
  3. Step 3: Cross multiply
    612,338x = 965,466 × 965,466
  4. Step 4: Simplify right side
    612,338x = 932,124,597,156
  5. Step 5: Solve for x
    x = 932,124,597,156/612,338
  6. Step 6: Final answer
    x = 1,522,238.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.