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Finding the Third Proportional to 214,712 and 460,636

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Solution

The third proportional to 214,712 and 460,636 is: 988,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,712 : 460,636 = 460,636 : x
  2. Step 2: Convert to fraction form
    214,712/460,636 = 460,636/x
  3. Step 3: Cross multiply
    214,712x = 460,636 × 460,636
  4. Step 4: Simplify right side
    214,712x = 212,185,524,496
  5. Step 5: Solve for x
    x = 212,185,524,496/214,712
  6. Step 6: Final answer
    x = 988,233.19

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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.