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Finding the Third Proportional to 219,028 and 475,236

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Solution

The third proportional to 219,028 and 475,236 is: 1,031,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,028 : 475,236 = 475,236 : x
  2. Step 2: Convert to fraction form
    219,028/475,236 = 475,236/x
  3. Step 3: Cross multiply
    219,028x = 475,236 × 475,236
  4. Step 4: Simplify right side
    219,028x = 225,849,255,696
  5. Step 5: Solve for x
    x = 225,849,255,696/219,028
  6. Step 6: Final answer
    x = 1,031,143.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.