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Finding the Third Proportional to 219,273 and 479,127

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Solution

The third proportional to 219,273 and 479,127 is: 1,046,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,273 : 479,127 = 479,127 : x
  2. Step 2: Convert to fraction form
    219,273/479,127 = 479,127/x
  3. Step 3: Cross multiply
    219,273x = 479,127 × 479,127
  4. Step 4: Simplify right side
    219,273x = 229,562,682,129
  5. Step 5: Solve for x
    x = 229,562,682,129/219,273
  6. Step 6: Final answer
    x = 1,046,926.35

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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.