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Finding the Third Proportional to 430,704 and 641,847.38

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Solution

The third proportional to 430,704 and 641,847.38 is: 956,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,704 : 641,847.38 = 641,847.38 : x
  2. Step 2: Convert to fraction form
    430,704/641,847.38 = 641,847.38/x
  3. Step 3: Cross multiply
    430,704x = 641,847.38 × 641,847.38
  4. Step 4: Simplify right side
    430,704x = 411,968,052,794.39
  5. Step 5: Solve for x
    x = 411,968,052,794.39/430,704
  6. Step 6: Final answer
    x = 956,499.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.