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Finding the Third Proportional to 402,331.50 and 603,506.25

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Solution

The third proportional to 402,331.50 and 603,506.25 is: 905,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,331.50 : 603,506.25 = 603,506.25 : x
  2. Step 2: Convert to fraction form
    402,331.50/603,506.25 = 603,506.25/x
  3. Step 3: Cross multiply
    402,331.50x = 603,506.25 × 603,506.25
  4. Step 4: Simplify right side
    402,331.50x = 364,219,793,789.06
  5. Step 5: Solve for x
    x = 364,219,793,789.06/402,331.50
  6. Step 6: Final answer
    x = 905,272.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.