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Finding the Third Proportional to 683,338 and 998,670

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Solution

The third proportional to 683,338 and 998,670 is: 1,459,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,338 : 998,670 = 998,670 : x
  2. Step 2: Convert to fraction form
    683,338/998,670 = 998,670/x
  3. Step 3: Cross multiply
    683,338x = 998,670 × 998,670
  4. Step 4: Simplify right side
    683,338x = 997,341,768,900
  5. Step 5: Solve for x
    x = 997,341,768,900/683,338
  6. Step 6: Final answer
    x = 1,459,514.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.