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Finding the Third Proportional to 228,428 and 363,762

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Solution

The third proportional to 228,428 and 363,762 is: 579,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,428 : 363,762 = 363,762 : x
  2. Step 2: Convert to fraction form
    228,428/363,762 = 363,762/x
  3. Step 3: Cross multiply
    228,428x = 363,762 × 363,762
  4. Step 4: Simplify right side
    228,428x = 132,322,792,644
  5. Step 5: Solve for x
    x = 132,322,792,644/228,428
  6. Step 6: Final answer
    x = 579,275.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.