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Finding the Third Proportional to 307,232 and 668,318

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Solution

The third proportional to 307,232 and 668,318 is: 1,453,783.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,232 : 668,318 = 668,318 : x
  2. Step 2: Convert to fraction form
    307,232/668,318 = 668,318/x
  3. Step 3: Cross multiply
    307,232x = 668,318 × 668,318
  4. Step 4: Simplify right side
    307,232x = 446,648,949,124
  5. Step 5: Solve for x
    x = 446,648,949,124/307,232
  6. Step 6: Final answer
    x = 1,453,783.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.