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Finding the Third Proportional to 296,942.63 and 403,434

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Solution

The third proportional to 296,942.63 and 403,434 is: 548,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,942.63 : 403,434 = 403,434 : x
  2. Step 2: Convert to fraction form
    296,942.63/403,434 = 403,434/x
  3. Step 3: Cross multiply
    296,942.63x = 403,434 × 403,434
  4. Step 4: Simplify right side
    296,942.63x = 162,758,992,356
  5. Step 5: Solve for x
    x = 162,758,992,356/296,942.63
  6. Step 6: Final answer
    x = 548,115.96

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.