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Finding the Third Proportional to 475,799 and 683,889

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Solution

The third proportional to 475,799 and 683,889 is: 982,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,799 : 683,889 = 683,889 : x
  2. Step 2: Convert to fraction form
    475,799/683,889 = 683,889/x
  3. Step 3: Cross multiply
    475,799x = 683,889 × 683,889
  4. Step 4: Simplify right side
    475,799x = 467,704,164,321
  5. Step 5: Solve for x
    x = 467,704,164,321/475,799
  6. Step 6: Final answer
    x = 982,986.86

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Why These Related Problems?

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