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Finding the Third Proportional to 353,137 and 453,417

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Solution

The third proportional to 353,137 and 453,417 is: 582,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,137 : 453,417 = 453,417 : x
  2. Step 2: Convert to fraction form
    353,137/453,417 = 453,417/x
  3. Step 3: Cross multiply
    353,137x = 453,417 × 453,417
  4. Step 4: Simplify right side
    353,137x = 205,586,975,889
  5. Step 5: Solve for x
    x = 205,586,975,889/353,137
  6. Step 6: Final answer
    x = 582,173.42

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.