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Finding the Third Proportional to 220,484 and 483,007

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Solution

The third proportional to 220,484 and 483,007 is: 1,058,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,484 : 483,007 = 483,007 : x
  2. Step 2: Convert to fraction form
    220,484/483,007 = 483,007/x
  3. Step 3: Cross multiply
    220,484x = 483,007 × 483,007
  4. Step 4: Simplify right side
    220,484x = 233,295,762,049
  5. Step 5: Solve for x
    x = 233,295,762,049/220,484
  6. Step 6: Final answer
    x = 1,058,107.45

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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.