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Finding the Third Proportional to 308,122 and 666,786

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Solution

The third proportional to 308,122 and 666,786 is: 1,442,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,122 : 666,786 = 666,786 : x
  2. Step 2: Convert to fraction form
    308,122/666,786 = 666,786/x
  3. Step 3: Cross multiply
    308,122x = 666,786 × 666,786
  4. Step 4: Simplify right side
    308,122x = 444,603,569,796
  5. Step 5: Solve for x
    x = 444,603,569,796/308,122
  6. Step 6: Final answer
    x = 1,442,946.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.