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Finding the Third Proportional to 221,056 and 483,584

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Solution

The third proportional to 221,056 and 483,584 is: 1,057,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,056 : 483,584 = 483,584 : x
  2. Step 2: Convert to fraction form
    221,056/483,584 = 483,584/x
  3. Step 3: Cross multiply
    221,056x = 483,584 × 483,584
  4. Step 4: Simplify right side
    221,056x = 233,853,485,056
  5. Step 5: Solve for x
    x = 233,853,485,056/221,056
  6. Step 6: Final answer
    x = 1,057,892.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.