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Finding the Third Proportional to 430,833.75 and 603,733.50

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Solution

The third proportional to 430,833.75 and 603,733.50 is: 846,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,833.75 : 603,733.50 = 603,733.50 : x
  2. Step 2: Convert to fraction form
    430,833.75/603,733.50 = 603,733.50/x
  3. Step 3: Cross multiply
    430,833.75x = 603,733.50 × 603,733.50
  4. Step 4: Simplify right side
    430,833.75x = 364,494,139,022.25
  5. Step 5: Solve for x
    x = 364,494,139,022.25/430,833.75
  6. Step 6: Final answer
    x = 846,020.39

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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.