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Finding the Third Proportional to 212,230.13 and 457,523.44

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Solution

The third proportional to 212,230.13 and 457,523.44 is: 986,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,230.13 : 457,523.44 = 457,523.44 : x
  2. Step 2: Convert to fraction form
    212,230.13/457,523.44 = 457,523.44/x
  3. Step 3: Cross multiply
    212,230.13x = 457,523.44 × 457,523.44
  4. Step 4: Simplify right side
    212,230.13x = 209,327,695,861.82
  5. Step 5: Solve for x
    x = 209,327,695,861.82/212,230.13
  6. Step 6: Final answer
    x = 986,324.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.