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Finding the Third Proportional to 485,152 and 694,699

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Solution

The third proportional to 485,152 and 694,699 is: 994,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,152 : 694,699 = 694,699 : x
  2. Step 2: Convert to fraction form
    485,152/694,699 = 694,699/x
  3. Step 3: Cross multiply
    485,152x = 694,699 × 694,699
  4. Step 4: Simplify right side
    485,152x = 482,606,700,601
  5. Step 5: Solve for x
    x = 482,606,700,601/485,152
  6. Step 6: Final answer
    x = 994,753.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.