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Finding the Third Proportional to 363,569 and 760,546

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Solution

The third proportional to 363,569 and 760,546 is: 1,590,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,569 : 760,546 = 760,546 : x
  2. Step 2: Convert to fraction form
    363,569/760,546 = 760,546/x
  3. Step 3: Cross multiply
    363,569x = 760,546 × 760,546
  4. Step 4: Simplify right side
    363,569x = 578,430,218,116
  5. Step 5: Solve for x
    x = 578,430,218,116/363,569
  6. Step 6: Final answer
    x = 1,590,977.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.