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Finding the Third Proportional to 353,127 and 453,408

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Solution

The third proportional to 353,127 and 453,408 is: 582,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,127 : 453,408 = 453,408 : x
  2. Step 2: Convert to fraction form
    353,127/453,408 = 453,408/x
  3. Step 3: Cross multiply
    353,127x = 453,408 × 453,408
  4. Step 4: Simplify right side
    353,127x = 205,578,814,464
  5. Step 5: Solve for x
    x = 205,578,814,464/353,127
  6. Step 6: Final answer
    x = 582,166.80

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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.