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Finding the Third Proportional to 214,944.19 and 455,490.56

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Solution

The third proportional to 214,944.19 and 455,490.56 is: 965,235.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,944.19 : 455,490.56 = 455,490.56 : x
  2. Step 2: Convert to fraction form
    214,944.19/455,490.56 = 455,490.56/x
  3. Step 3: Cross multiply
    214,944.19x = 455,490.56 × 455,490.56
  4. Step 4: Simplify right side
    214,944.19x = 207,471,652,526.57
  5. Step 5: Solve for x
    x = 207,471,652,526.57/214,944.19
  6. Step 6: Final answer
    x = 965,235.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.