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Finding the Third Proportional to 254,698 and 344,679

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Solution

The third proportional to 254,698 and 344,679 is: 466,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,698 : 344,679 = 344,679 : x
  2. Step 2: Convert to fraction form
    254,698/344,679 = 344,679/x
  3. Step 3: Cross multiply
    254,698x = 344,679 × 344,679
  4. Step 4: Simplify right side
    254,698x = 118,803,613,041
  5. Step 5: Solve for x
    x = 118,803,613,041/254,698
  6. Step 6: Final answer
    x = 466,448.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.