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Finding the Third Proportional to 349,266.94 and 512,400.94

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Solution

The third proportional to 349,266.94 and 512,400.94 is: 751,730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,266.94 : 512,400.94 = 512,400.94 : x
  2. Step 2: Convert to fraction form
    349,266.94/512,400.94 = 512,400.94/x
  3. Step 3: Cross multiply
    349,266.94x = 512,400.94 × 512,400.94
  4. Step 4: Simplify right side
    349,266.94x = 262,554,720,750.88
  5. Step 5: Solve for x
    x = 262,554,720,750.88/349,266.94
  6. Step 6: Final answer
    x = 751,730.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.