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Finding the Third Proportional to 430,836.75 and 603,738

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Solution

The third proportional to 430,836.75 and 603,738 is: 846,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,836.75 : 603,738 = 603,738 : x
  2. Step 2: Convert to fraction form
    430,836.75/603,738 = 603,738/x
  3. Step 3: Cross multiply
    430,836.75x = 603,738 × 603,738
  4. Step 4: Simplify right side
    430,836.75x = 364,499,572,644
  5. Step 5: Solve for x
    x = 364,499,572,644/430,836.75
  6. Step 6: Final answer
    x = 846,027.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.