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Finding the Third Proportional to 294,794 and 631,646

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Solution

The third proportional to 294,794 and 631,646 is: 1,353,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,794 : 631,646 = 631,646 : x
  2. Step 2: Convert to fraction form
    294,794/631,646 = 631,646/x
  3. Step 3: Cross multiply
    294,794x = 631,646 × 631,646
  4. Step 4: Simplify right side
    294,794x = 398,976,669,316
  5. Step 5: Solve for x
    x = 398,976,669,316/294,794
  6. Step 6: Final answer
    x = 1,353,408.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.