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Finding the Third Proportional to 508,108 and 746,958

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Solution

The third proportional to 508,108 and 746,958 is: 1,098,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,108 : 746,958 = 746,958 : x
  2. Step 2: Convert to fraction form
    508,108/746,958 = 746,958/x
  3. Step 3: Cross multiply
    508,108x = 746,958 × 746,958
  4. Step 4: Simplify right side
    508,108x = 557,946,253,764
  5. Step 5: Solve for x
    x = 557,946,253,764/508,108
  6. Step 6: Final answer
    x = 1,098,085.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.