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Finding the Third Proportional to 221,491.13 and 483,583.50

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Solution

The third proportional to 221,491.13 and 483,583.50 is: 1,055,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,491.13 : 483,583.50 = 483,583.50 : x
  2. Step 2: Convert to fraction form
    221,491.13/483,583.50 = 483,583.50/x
  3. Step 3: Cross multiply
    221,491.13x = 483,583.50 × 483,583.50
  4. Step 4: Simplify right side
    221,491.13x = 233,853,001,472.25
  5. Step 5: Solve for x
    x = 233,853,001,472.25/221,491.13
  6. Step 6: Final answer
    x = 1,055,812.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.