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Finding the Third Proportional to 219,251 and 472,342

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Solution

The third proportional to 219,251 and 472,342 is: 1,017,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,251 : 472,342 = 472,342 : x
  2. Step 2: Convert to fraction form
    219,251/472,342 = 472,342/x
  3. Step 3: Cross multiply
    219,251x = 472,342 × 472,342
  4. Step 4: Simplify right side
    219,251x = 223,106,964,964
  5. Step 5: Solve for x
    x = 223,106,964,964/219,251
  6. Step 6: Final answer
    x = 1,017,586.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.