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Finding the Third Proportional to 219,146 and 475,442

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Solution

The third proportional to 219,146 and 475,442 is: 1,031,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,146 : 475,442 = 475,442 : x
  2. Step 2: Convert to fraction form
    219,146/475,442 = 475,442/x
  3. Step 3: Cross multiply
    219,146x = 475,442 × 475,442
  4. Step 4: Simplify right side
    219,146x = 226,045,095,364
  5. Step 5: Solve for x
    x = 226,045,095,364/219,146
  6. Step 6: Final answer
    x = 1,031,481.73

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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.