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Finding the Third Proportional to 524,252 and 796,106

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Solution

The third proportional to 524,252 and 796,106 is: 1,208,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,252 : 796,106 = 796,106 : x
  2. Step 2: Convert to fraction form
    524,252/796,106 = 796,106/x
  3. Step 3: Cross multiply
    524,252x = 796,106 × 796,106
  4. Step 4: Simplify right side
    524,252x = 633,784,763,236
  5. Step 5: Solve for x
    x = 633,784,763,236/524,252
  6. Step 6: Final answer
    x = 1,208,931.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.