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Finding the Third Proportional to 726,536 and 997,335

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Solution

The third proportional to 726,536 and 997,335 is: 1,369,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,536 : 997,335 = 997,335 : x
  2. Step 2: Convert to fraction form
    726,536/997,335 = 997,335/x
  3. Step 3: Cross multiply
    726,536x = 997,335 × 997,335
  4. Step 4: Simplify right side
    726,536x = 994,677,102,225
  5. Step 5: Solve for x
    x = 994,677,102,225/726,536
  6. Step 6: Final answer
    x = 1,369,067.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.