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Finding the Third Proportional to 228,882 and 498,433

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Solution

The third proportional to 228,882 and 498,433 is: 1,085,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,882 : 498,433 = 498,433 : x
  2. Step 2: Convert to fraction form
    228,882/498,433 = 498,433/x
  3. Step 3: Cross multiply
    228,882x = 498,433 × 498,433
  4. Step 4: Simplify right side
    228,882x = 248,435,455,489
  5. Step 5: Solve for x
    x = 248,435,455,489/228,882
  6. Step 6: Final answer
    x = 1,085,430.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.