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Finding the Third Proportional to 340,704 and 520,128

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Solution

The third proportional to 340,704 and 520,128 is: 794,041.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,704 : 520,128 = 520,128 : x
  2. Step 2: Convert to fraction form
    340,704/520,128 = 520,128/x
  3. Step 3: Cross multiply
    340,704x = 520,128 × 520,128
  4. Step 4: Simplify right side
    340,704x = 270,533,136,384
  5. Step 5: Solve for x
    x = 270,533,136,384/340,704
  6. Step 6: Final answer
    x = 794,041.56

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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.