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Finding the Third Proportional to 294,764 and 631,588

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Solution

The third proportional to 294,764 and 631,588 is: 1,353,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,764 : 631,588 = 631,588 : x
  2. Step 2: Convert to fraction form
    294,764/631,588 = 631,588/x
  3. Step 3: Cross multiply
    294,764x = 631,588 × 631,588
  4. Step 4: Simplify right side
    294,764x = 398,903,401,744
  5. Step 5: Solve for x
    x = 398,903,401,744/294,764
  6. Step 6: Final answer
    x = 1,353,297.56

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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.