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Finding the Third Proportional to 500,908 and 733,380

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Solution

The third proportional to 500,908 and 733,380 is: 1,073,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,908 : 733,380 = 733,380 : x
  2. Step 2: Convert to fraction form
    500,908/733,380 = 733,380/x
  3. Step 3: Cross multiply
    500,908x = 733,380 × 733,380
  4. Step 4: Simplify right side
    500,908x = 537,846,224,400
  5. Step 5: Solve for x
    x = 537,846,224,400/500,908
  6. Step 6: Final answer
    x = 1,073,742.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.