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Finding the Third Proportional to 319,794 and 683,292

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Solution

The third proportional to 319,794 and 683,292 is: 1,459,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,794 : 683,292 = 683,292 : x
  2. Step 2: Convert to fraction form
    319,794/683,292 = 683,292/x
  3. Step 3: Cross multiply
    319,794x = 683,292 × 683,292
  4. Step 4: Simplify right side
    319,794x = 466,887,957,264
  5. Step 5: Solve for x
    x = 466,887,957,264/319,794
  6. Step 6: Final answer
    x = 1,459,964.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.