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Finding the Third Proportional to 294,777 and 631,614

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Solution

The third proportional to 294,777 and 631,614 is: 1,353,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,777 : 631,614 = 631,614 : x
  2. Step 2: Convert to fraction form
    294,777/631,614 = 631,614/x
  3. Step 3: Cross multiply
    294,777x = 631,614 × 631,614
  4. Step 4: Simplify right side
    294,777x = 398,936,244,996
  5. Step 5: Solve for x
    x = 398,936,244,996/294,777
  6. Step 6: Final answer
    x = 1,353,349.29

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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.