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Finding the Third Proportional to 220,482.28 and 483,002.44

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Solution

The third proportional to 220,482.28 and 483,002.44 is: 1,058,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,482.28 : 483,002.44 = 483,002.44 : x
  2. Step 2: Convert to fraction form
    220,482.28/483,002.44 = 483,002.44/x
  3. Step 3: Cross multiply
    220,482.28x = 483,002.44 × 483,002.44
  4. Step 4: Simplify right side
    220,482.28x = 233,291,354,630.94
  5. Step 5: Solve for x
    x = 233,291,354,630.94/220,482.28
  6. Step 6: Final answer
    x = 1,058,095.70

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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.