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Finding the Third Proportional to 215,872.50 and 458,052

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Solution

The third proportional to 215,872.50 and 458,052 is: 971,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,872.50 : 458,052 = 458,052 : x
  2. Step 2: Convert to fraction form
    215,872.50/458,052 = 458,052/x
  3. Step 3: Cross multiply
    215,872.50x = 458,052 × 458,052
  4. Step 4: Simplify right side
    215,872.50x = 209,811,634,704
  5. Step 5: Solve for x
    x = 209,811,634,704/215,872.50
  6. Step 6: Final answer
    x = 971,923.87

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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.