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Finding the Third Proportional to 219,026 and 472,828

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Solution

The third proportional to 219,026 and 472,828 is: 1,020,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,026 : 472,828 = 472,828 : x
  2. Step 2: Convert to fraction form
    219,026/472,828 = 472,828/x
  3. Step 3: Cross multiply
    219,026x = 472,828 × 472,828
  4. Step 4: Simplify right side
    219,026x = 223,566,317,584
  5. Step 5: Solve for x
    x = 223,566,317,584/219,026
  6. Step 6: Final answer
    x = 1,020,729.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.