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Finding the Third Proportional to 349,500 and 758,328

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Solution

The third proportional to 349,500 and 758,328 is: 1,645,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,500 : 758,328 = 758,328 : x
  2. Step 2: Convert to fraction form
    349,500/758,328 = 758,328/x
  3. Step 3: Cross multiply
    349,500x = 758,328 × 758,328
  4. Step 4: Simplify right side
    349,500x = 575,061,355,584
  5. Step 5: Solve for x
    x = 575,061,355,584/349,500
  6. Step 6: Final answer
    x = 1,645,382.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.