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Finding the Third Proportional to 356,951 and 552,707

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Solution

The third proportional to 356,951 and 552,707 is: 855,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,951 : 552,707 = 552,707 : x
  2. Step 2: Convert to fraction form
    356,951/552,707 = 552,707/x
  3. Step 3: Cross multiply
    356,951x = 552,707 × 552,707
  4. Step 4: Simplify right side
    356,951x = 305,485,027,849
  5. Step 5: Solve for x
    x = 305,485,027,849/356,951
  6. Step 6: Final answer
    x = 855,817.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.