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Finding the Third Proportional to 214,803 and 462,807

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Solution

The third proportional to 214,803 and 462,807 is: 997,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,803 : 462,807 = 462,807 : x
  2. Step 2: Convert to fraction form
    214,803/462,807 = 462,807/x
  3. Step 3: Cross multiply
    214,803x = 462,807 × 462,807
  4. Step 4: Simplify right side
    214,803x = 214,190,319,249
  5. Step 5: Solve for x
    x = 214,190,319,249/214,803
  6. Step 6: Final answer
    x = 997,147.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.