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Finding the Third Proportional to 293,382 and 643,788

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Solution

The third proportional to 293,382 and 643,788 is: 1,412,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,382 : 643,788 = 643,788 : x
  2. Step 2: Convert to fraction form
    293,382/643,788 = 643,788/x
  3. Step 3: Cross multiply
    293,382x = 643,788 × 643,788
  4. Step 4: Simplify right side
    293,382x = 414,462,988,944
  5. Step 5: Solve for x
    x = 414,462,988,944/293,382
  6. Step 6: Final answer
    x = 1,412,707.63

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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.