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Finding the Third Proportional to 316,977 and 683,890

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Solution

The third proportional to 316,977 and 683,890 is: 1,475,518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,977 : 683,890 = 683,890 : x
  2. Step 2: Convert to fraction form
    316,977/683,890 = 683,890/x
  3. Step 3: Cross multiply
    316,977x = 683,890 × 683,890
  4. Step 4: Simplify right side
    316,977x = 467,705,532,100
  5. Step 5: Solve for x
    x = 467,705,532,100/316,977
  6. Step 6: Final answer
    x = 1,475,518.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.