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Finding the Third Proportional to 210,285.75 and 462,626.25

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Solution

The third proportional to 210,285.75 and 462,626.25 is: 1,017,772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,285.75 : 462,626.25 = 462,626.25 : x
  2. Step 2: Convert to fraction form
    210,285.75/462,626.25 = 462,626.25/x
  3. Step 3: Cross multiply
    210,285.75x = 462,626.25 × 462,626.25
  4. Step 4: Simplify right side
    210,285.75x = 214,023,047,189.06
  5. Step 5: Solve for x
    x = 214,023,047,189.06/210,285.75
  6. Step 6: Final answer
    x = 1,017,772.47

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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.