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Finding the Third Proportional to 213,385.50 and 459,852.75

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Solution

The third proportional to 213,385.50 and 459,852.75 is: 990,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,385.50 : 459,852.75 = 459,852.75 : x
  2. Step 2: Convert to fraction form
    213,385.50/459,852.75 = 459,852.75/x
  3. Step 3: Cross multiply
    213,385.50x = 459,852.75 × 459,852.75
  4. Step 4: Simplify right side
    213,385.50x = 211,464,551,682.56
  5. Step 5: Solve for x
    x = 211,464,551,682.56/213,385.50
  6. Step 6: Final answer
    x = 990,997.76

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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.