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Finding the Third Proportional to 228,432 and 363,768

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Solution

The third proportional to 228,432 and 363,768 is: 579,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,432 : 363,768 = 363,768 : x
  2. Step 2: Convert to fraction form
    228,432/363,768 = 363,768/x
  3. Step 3: Cross multiply
    228,432x = 363,768 × 363,768
  4. Step 4: Simplify right side
    228,432x = 132,327,157,824
  5. Step 5: Solve for x
    x = 132,327,157,824/228,432
  6. Step 6: Final answer
    x = 579,284.68

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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.