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Finding the Third Proportional to 346,593.94 and 463,598.44

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Solution

The third proportional to 346,593.94 and 463,598.44 is: 620,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,593.94 : 463,598.44 = 463,598.44 : x
  2. Step 2: Convert to fraction form
    346,593.94/463,598.44 = 463,598.44/x
  3. Step 3: Cross multiply
    346,593.94x = 463,598.44 × 463,598.44
  4. Step 4: Simplify right side
    346,593.94x = 214,923,511,252.44
  5. Step 5: Solve for x
    x = 214,923,511,252.44/346,593.94
  6. Step 6: Final answer
    x = 620,101.76

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.