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Finding the Third Proportional to 228,632 and 350,720

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Solution

The third proportional to 228,632 and 350,720 is: 538,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,632 : 350,720 = 350,720 : x
  2. Step 2: Convert to fraction form
    228,632/350,720 = 350,720/x
  3. Step 3: Cross multiply
    228,632x = 350,720 × 350,720
  4. Step 4: Simplify right side
    228,632x = 123,004,518,400
  5. Step 5: Solve for x
    x = 123,004,518,400/228,632
  6. Step 6: Final answer
    x = 538,002.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.