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Finding the Third Proportional to 215,804 and 462,712

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Solution

The third proportional to 215,804 and 462,712 is: 992,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,804 : 462,712 = 462,712 : x
  2. Step 2: Convert to fraction form
    215,804/462,712 = 462,712/x
  3. Step 3: Cross multiply
    215,804x = 462,712 × 462,712
  4. Step 4: Simplify right side
    215,804x = 214,102,394,944
  5. Step 5: Solve for x
    x = 214,102,394,944/215,804
  6. Step 6: Final answer
    x = 992,115.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.