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Finding the Third Proportional to 228,331 and 492,859

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Solution

The third proportional to 228,331 and 492,859 is: 1,063,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,331 : 492,859 = 492,859 : x
  2. Step 2: Convert to fraction form
    228,331/492,859 = 492,859/x
  3. Step 3: Cross multiply
    228,331x = 492,859 × 492,859
  4. Step 4: Simplify right side
    228,331x = 242,909,993,881
  5. Step 5: Solve for x
    x = 242,909,993,881/228,331
  6. Step 6: Final answer
    x = 1,063,850.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.