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Finding the Third Proportional to 351,814 and 829,678

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Solution

The third proportional to 351,814 and 829,678 is: 1,956,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,814 : 829,678 = 829,678 : x
  2. Step 2: Convert to fraction form
    351,814/829,678 = 829,678/x
  3. Step 3: Cross multiply
    351,814x = 829,678 × 829,678
  4. Step 4: Simplify right side
    351,814x = 688,365,583,684
  5. Step 5: Solve for x
    x = 688,365,583,684/351,814
  6. Step 6: Final answer
    x = 1,956,617.94

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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.