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Finding the Third Proportional to 430,847 and 603,752

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Solution

The third proportional to 430,847 and 603,752 is: 846,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,847 : 603,752 = 603,752 : x
  2. Step 2: Convert to fraction form
    430,847/603,752 = 603,752/x
  3. Step 3: Cross multiply
    430,847x = 603,752 × 603,752
  4. Step 4: Simplify right side
    430,847x = 364,516,477,504
  5. Step 5: Solve for x
    x = 364,516,477,504/430,847
  6. Step 6: Final answer
    x = 846,046.22

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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.