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Finding the Third Proportional to 303,346 and 660,044

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Solution

The third proportional to 303,346 and 660,044 is: 1,436,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,346 : 660,044 = 660,044 : x
  2. Step 2: Convert to fraction form
    303,346/660,044 = 660,044/x
  3. Step 3: Cross multiply
    303,346x = 660,044 × 660,044
  4. Step 4: Simplify right side
    303,346x = 435,658,081,936
  5. Step 5: Solve for x
    x = 435,658,081,936/303,346
  6. Step 6: Final answer
    x = 1,436,175.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.