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Finding the Third Proportional to 233,428 and 365,795

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Solution

The third proportional to 233,428 and 365,795 is: 573,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,428 : 365,795 = 365,795 : x
  2. Step 2: Convert to fraction form
    233,428/365,795 = 365,795/x
  3. Step 3: Cross multiply
    233,428x = 365,795 × 365,795
  4. Step 4: Simplify right side
    233,428x = 133,805,982,025
  5. Step 5: Solve for x
    x = 133,805,982,025/233,428
  6. Step 6: Final answer
    x = 573,221.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.