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Finding the Third Proportional to 228,644 and 500,875

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Solution

The third proportional to 228,644 and 500,875 is: 1,097,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,644 : 500,875 = 500,875 : x
  2. Step 2: Convert to fraction form
    228,644/500,875 = 500,875/x
  3. Step 3: Cross multiply
    228,644x = 500,875 × 500,875
  4. Step 4: Simplify right side
    228,644x = 250,875,765,625
  5. Step 5: Solve for x
    x = 250,875,765,625/228,644
  6. Step 6: Final answer
    x = 1,097,233.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.