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Finding the Third Proportional to 366,968 and 759,107

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Solution

The third proportional to 366,968 and 759,107 is: 1,570,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,968 : 759,107 = 759,107 : x
  2. Step 2: Convert to fraction form
    366,968/759,107 = 759,107/x
  3. Step 3: Cross multiply
    366,968x = 759,107 × 759,107
  4. Step 4: Simplify right side
    366,968x = 576,243,437,449
  5. Step 5: Solve for x
    x = 576,243,437,449/366,968
  6. Step 6: Final answer
    x = 1,570,282.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.