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Finding the Third Proportional to 536,868 and 726,516

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Solution

The third proportional to 536,868 and 726,516 is: 983,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,868 : 726,516 = 726,516 : x
  2. Step 2: Convert to fraction form
    536,868/726,516 = 726,516/x
  3. Step 3: Cross multiply
    536,868x = 726,516 × 726,516
  4. Step 4: Simplify right side
    536,868x = 527,825,498,256
  5. Step 5: Solve for x
    x = 527,825,498,256/536,868
  6. Step 6: Final answer
    x = 983,156.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.