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Finding the Third Proportional to 303,671 and 666,391

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Solution

The third proportional to 303,671 and 666,391 is: 1,462,362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,671 : 666,391 = 666,391 : x
  2. Step 2: Convert to fraction form
    303,671/666,391 = 666,391/x
  3. Step 3: Cross multiply
    303,671x = 666,391 × 666,391
  4. Step 4: Simplify right side
    303,671x = 444,076,964,881
  5. Step 5: Solve for x
    x = 444,076,964,881/303,671
  6. Step 6: Final answer
    x = 1,462,362.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.