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Finding the Third Proportional to 268,970 and 365,484

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Solution

The third proportional to 268,970 and 365,484 is: 496,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,970 : 365,484 = 365,484 : x
  2. Step 2: Convert to fraction form
    268,970/365,484 = 365,484/x
  3. Step 3: Cross multiply
    268,970x = 365,484 × 365,484
  4. Step 4: Simplify right side
    268,970x = 133,578,554,256
  5. Step 5: Solve for x
    x = 133,578,554,256/268,970
  6. Step 6: Final answer
    x = 496,629.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.