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Finding the Third Proportional to 210,285 and 462,624.75

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Solution

The third proportional to 210,285 and 462,624.75 is: 1,017,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,285 : 462,624.75 = 462,624.75 : x
  2. Step 2: Convert to fraction form
    210,285/462,624.75 = 462,624.75/x
  3. Step 3: Cross multiply
    210,285x = 462,624.75 × 462,624.75
  4. Step 4: Simplify right side
    210,285x = 214,021,659,312.56
  5. Step 5: Solve for x
    x = 214,021,659,312.56/210,285
  6. Step 6: Final answer
    x = 1,017,769.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.