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Finding the Third Proportional to 353,129 and 453,411

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Solution

The third proportional to 353,129 and 453,411 is: 582,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,129 : 453,411 = 453,411 : x
  2. Step 2: Convert to fraction form
    353,129/453,411 = 453,411/x
  3. Step 3: Cross multiply
    353,129x = 453,411 × 453,411
  4. Step 4: Simplify right side
    353,129x = 205,581,534,921
  5. Step 5: Solve for x
    x = 205,581,534,921/353,129
  6. Step 6: Final answer
    x = 582,171.20

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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.