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Finding the Third Proportional to 452,098 and 683,967

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Solution

The third proportional to 452,098 and 683,967 is: 1,034,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,098 : 683,967 = 683,967 : x
  2. Step 2: Convert to fraction form
    452,098/683,967 = 683,967/x
  3. Step 3: Cross multiply
    452,098x = 683,967 × 683,967
  4. Step 4: Simplify right side
    452,098x = 467,810,857,089
  5. Step 5: Solve for x
    x = 467,810,857,089/452,098
  6. Step 6: Final answer
    x = 1,034,755.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.