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Finding the Third Proportional to 293,504 and 644,040

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Solution

The third proportional to 293,504 and 644,040 is: 1,413,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,504 : 644,040 = 644,040 : x
  2. Step 2: Convert to fraction form
    293,504/644,040 = 644,040/x
  3. Step 3: Cross multiply
    293,504x = 644,040 × 644,040
  4. Step 4: Simplify right side
    293,504x = 414,787,521,600
  5. Step 5: Solve for x
    x = 414,787,521,600/293,504
  6. Step 6: Final answer
    x = 1,413,226.13

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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.