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Finding the Third Proportional to 293,383 and 643,790

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Solution

The third proportional to 293,383 and 643,790 is: 1,412,711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,383 : 643,790 = 643,790 : x
  2. Step 2: Convert to fraction form
    293,383/643,790 = 643,790/x
  3. Step 3: Cross multiply
    293,383x = 643,790 × 643,790
  4. Step 4: Simplify right side
    293,383x = 414,465,564,100
  5. Step 5: Solve for x
    x = 414,465,564,100/293,383
  6. Step 6: Final answer
    x = 1,412,711.59

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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.