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Finding the Third Proportional to 303,786 and 666,090

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Solution

The third proportional to 303,786 and 666,090 is: 1,460,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,786 : 666,090 = 666,090 : x
  2. Step 2: Convert to fraction form
    303,786/666,090 = 666,090/x
  3. Step 3: Cross multiply
    303,786x = 666,090 × 666,090
  4. Step 4: Simplify right side
    303,786x = 443,675,888,100
  5. Step 5: Solve for x
    x = 443,675,888,100/303,786
  6. Step 6: Final answer
    x = 1,460,488.27

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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.