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Finding the Third Proportional to 212,033 and 453,483

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Solution

The third proportional to 212,033 and 453,483 is: 969,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,033 : 453,483 = 453,483 : x
  2. Step 2: Convert to fraction form
    212,033/453,483 = 453,483/x
  3. Step 3: Cross multiply
    212,033x = 453,483 × 453,483
  4. Step 4: Simplify right side
    212,033x = 205,646,831,289
  5. Step 5: Solve for x
    x = 205,646,831,289/212,033
  6. Step 6: Final answer
    x = 969,881.25

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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.