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Finding the Third Proportional to 409,536 and 851,769

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Solution

The third proportional to 409,536 and 851,769 is: 1,771,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,536 : 851,769 = 851,769 : x
  2. Step 2: Convert to fraction form
    409,536/851,769 = 851,769/x
  3. Step 3: Cross multiply
    409,536x = 851,769 × 851,769
  4. Step 4: Simplify right side
    409,536x = 725,510,429,361
  5. Step 5: Solve for x
    x = 725,510,429,361/409,536
  6. Step 6: Final answer
    x = 1,771,542.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.