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Finding the Third Proportional to 369,711 and 756,936

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Solution

The third proportional to 369,711 and 756,936 is: 1,549,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,711 : 756,936 = 756,936 : x
  2. Step 2: Convert to fraction form
    369,711/756,936 = 756,936/x
  3. Step 3: Cross multiply
    369,711x = 756,936 × 756,936
  4. Step 4: Simplify right side
    369,711x = 572,952,108,096
  5. Step 5: Solve for x
    x = 572,952,108,096/369,711
  6. Step 6: Final answer
    x = 1,549,729.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.