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Finding the Third Proportional to 356,610 and 743,109

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Solution

The third proportional to 356,610 and 743,109 is: 1,548,501.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,610 : 743,109 = 743,109 : x
  2. Step 2: Convert to fraction form
    356,610/743,109 = 743,109/x
  3. Step 3: Cross multiply
    356,610x = 743,109 × 743,109
  4. Step 4: Simplify right side
    356,610x = 552,210,985,881
  5. Step 5: Solve for x
    x = 552,210,985,881/356,610
  6. Step 6: Final answer
    x = 1,548,501.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.