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Finding the Third Proportional to 297,923 and 702,689

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Solution

The third proportional to 297,923 and 702,689 is: 1,657,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,923 : 702,689 = 702,689 : x
  2. Step 2: Convert to fraction form
    297,923/702,689 = 702,689/x
  3. Step 3: Cross multiply
    297,923x = 702,689 × 702,689
  4. Step 4: Simplify right side
    297,923x = 493,771,830,721
  5. Step 5: Solve for x
    x = 493,771,830,721/297,923
  6. Step 6: Final answer
    x = 1,657,380.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.