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Finding the Third Proportional to 475,836 and 683,940

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Solution

The third proportional to 475,836 and 683,940 is: 983,057.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,836 : 683,940 = 683,940 : x
  2. Step 2: Convert to fraction form
    475,836/683,940 = 683,940/x
  3. Step 3: Cross multiply
    475,836x = 683,940 × 683,940
  4. Step 4: Simplify right side
    475,836x = 467,773,923,600
  5. Step 5: Solve for x
    x = 467,773,923,600/475,836
  6. Step 6: Final answer
    x = 983,057.03

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.