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Finding the Third Proportional to 218,803 and 483,533

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Solution

The third proportional to 218,803 and 483,533 is: 1,068,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,803 : 483,533 = 483,533 : x
  2. Step 2: Convert to fraction form
    218,803/483,533 = 483,533/x
  3. Step 3: Cross multiply
    218,803x = 483,533 × 483,533
  4. Step 4: Simplify right side
    218,803x = 233,804,162,089
  5. Step 5: Solve for x
    x = 233,804,162,089/218,803
  6. Step 6: Final answer
    x = 1,068,560.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.