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Finding the Third Proportional to 294,770 and 631,600

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Solution

The third proportional to 294,770 and 631,600 is: 1,353,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,770 : 631,600 = 631,600 : x
  2. Step 2: Convert to fraction form
    294,770/631,600 = 631,600/x
  3. Step 3: Cross multiply
    294,770x = 631,600 × 631,600
  4. Step 4: Simplify right side
    294,770x = 398,918,560,000
  5. Step 5: Solve for x
    x = 398,918,560,000/294,770
  6. Step 6: Final answer
    x = 1,353,321.44

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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.