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Finding the Third Proportional to 430,832 and 661,296

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Solution

The third proportional to 430,832 and 661,296 is: 1,015,041.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,832 : 661,296 = 661,296 : x
  2. Step 2: Convert to fraction form
    430,832/661,296 = 661,296/x
  3. Step 3: Cross multiply
    430,832x = 661,296 × 661,296
  4. Step 4: Simplify right side
    430,832x = 437,312,399,616
  5. Step 5: Solve for x
    x = 437,312,399,616/430,832
  6. Step 6: Final answer
    x = 1,015,041.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.