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Finding the Third Proportional to 303,567 and 438,567

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Solution

The third proportional to 303,567 and 438,567 is: 633,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,567 : 438,567 = 438,567 : x
  2. Step 2: Convert to fraction form
    303,567/438,567 = 438,567/x
  3. Step 3: Cross multiply
    303,567x = 438,567 × 438,567
  4. Step 4: Simplify right side
    303,567x = 192,341,013,489
  5. Step 5: Solve for x
    x = 192,341,013,489/303,567
  6. Step 6: Final answer
    x = 633,603.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.