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Finding the Third Proportional to 475,816 and 694,737

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Solution

The third proportional to 475,816 and 694,737 is: 1,014,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,816 : 694,737 = 694,737 : x
  2. Step 2: Convert to fraction form
    475,816/694,737 = 694,737/x
  3. Step 3: Cross multiply
    475,816x = 694,737 × 694,737
  4. Step 4: Simplify right side
    475,816x = 482,659,499,169
  5. Step 5: Solve for x
    x = 482,659,499,169/475,816
  6. Step 6: Final answer
    x = 1,014,382.66

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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.