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Finding the Third Proportional to 212,028 and 452,720

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Solution

The third proportional to 212,028 and 452,720 is: 966,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,028 : 452,720 = 452,720 : x
  2. Step 2: Convert to fraction form
    212,028/452,720 = 452,720/x
  3. Step 3: Cross multiply
    212,028x = 452,720 × 452,720
  4. Step 4: Simplify right side
    212,028x = 204,955,398,400
  5. Step 5: Solve for x
    x = 204,955,398,400/212,028
  6. Step 6: Final answer
    x = 966,643.08

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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.