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Finding the Third Proportional to 215,790 and 470,190

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Solution

The third proportional to 215,790 and 470,190 is: 1,024,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,790 : 470,190 = 470,190 : x
  2. Step 2: Convert to fraction form
    215,790/470,190 = 470,190/x
  3. Step 3: Cross multiply
    215,790x = 470,190 × 470,190
  4. Step 4: Simplify right side
    215,790x = 221,078,636,100
  5. Step 5: Solve for x
    x = 221,078,636,100/215,790
  6. Step 6: Final answer
    x = 1,024,508.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.