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Finding the Third Proportional to 412,980 and 631,318

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Solution

The third proportional to 412,980 and 631,318 is: 965,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,980 : 631,318 = 631,318 : x
  2. Step 2: Convert to fraction form
    412,980/631,318 = 631,318/x
  3. Step 3: Cross multiply
    412,980x = 631,318 × 631,318
  4. Step 4: Simplify right side
    412,980x = 398,562,417,124
  5. Step 5: Solve for x
    x = 398,562,417,124/412,980
  6. Step 6: Final answer
    x = 965,088.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.