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Finding the Third Proportional to 303,768 and 666,032

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Solution

The third proportional to 303,768 and 666,032 is: 1,460,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,768 : 666,032 = 666,032 : x
  2. Step 2: Convert to fraction form
    303,768/666,032 = 666,032/x
  3. Step 3: Cross multiply
    303,768x = 666,032 × 666,032
  4. Step 4: Simplify right side
    303,768x = 443,598,625,024
  5. Step 5: Solve for x
    x = 443,598,625,024/303,768
  6. Step 6: Final answer
    x = 1,460,320.46

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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.