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Finding the Third Proportional to 228,237 and 503,130

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Solution

The third proportional to 228,237 and 503,130 is: 1,109,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,237 : 503,130 = 503,130 : x
  2. Step 2: Convert to fraction form
    228,237/503,130 = 503,130/x
  3. Step 3: Cross multiply
    228,237x = 503,130 × 503,130
  4. Step 4: Simplify right side
    228,237x = 253,139,796,900
  5. Step 5: Solve for x
    x = 253,139,796,900/228,237
  6. Step 6: Final answer
    x = 1,109,109.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.