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Finding the Third Proportional to 267,054 and 412,355

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Solution

The third proportional to 267,054 and 412,355 is: 636,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,054 : 412,355 = 412,355 : x
  2. Step 2: Convert to fraction form
    267,054/412,355 = 412,355/x
  3. Step 3: Cross multiply
    267,054x = 412,355 × 412,355
  4. Step 4: Simplify right side
    267,054x = 170,036,646,025
  5. Step 5: Solve for x
    x = 170,036,646,025/267,054
  6. Step 6: Final answer
    x = 636,712.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.