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Finding the Third Proportional to 318,435.25 and 464,525.50

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Solution

The third proportional to 318,435.25 and 464,525.50 is: 677,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,435.25 : 464,525.50 = 464,525.50 : x
  2. Step 2: Convert to fraction form
    318,435.25/464,525.50 = 464,525.50/x
  3. Step 3: Cross multiply
    318,435.25x = 464,525.50 × 464,525.50
  4. Step 4: Simplify right side
    318,435.25x = 215,783,940,150.25
  5. Step 5: Solve for x
    x = 215,783,940,150.25/318,435.25
  6. Step 6: Final answer
    x = 677,638.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.