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Finding the Third Proportional to 212,040 and 453,496.50

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Solution

The third proportional to 212,040 and 453,496.50 is: 969,906.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,040 : 453,496.50 = 453,496.50 : x
  2. Step 2: Convert to fraction form
    212,040/453,496.50 = 453,496.50/x
  3. Step 3: Cross multiply
    212,040x = 453,496.50 × 453,496.50
  4. Step 4: Simplify right side
    212,040x = 205,659,075,512.25
  5. Step 5: Solve for x
    x = 205,659,075,512.25/212,040
  6. Step 6: Final answer
    x = 969,906.98

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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.