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Finding the Third Proportional to 596,812 and 925,472

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Solution

The third proportional to 596,812 and 925,472 is: 1,435,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,812 : 925,472 = 925,472 : x
  2. Step 2: Convert to fraction form
    596,812/925,472 = 925,472/x
  3. Step 3: Cross multiply
    596,812x = 925,472 × 925,472
  4. Step 4: Simplify right side
    596,812x = 856,498,422,784
  5. Step 5: Solve for x
    x = 856,498,422,784/596,812
  6. Step 6: Final answer
    x = 1,435,122.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.