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Finding the Third Proportional to 348,424.50 and 738,715.50

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Solution

The third proportional to 348,424.50 and 738,715.50 is: 1,566,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,424.50 : 738,715.50 = 738,715.50 : x
  2. Step 2: Convert to fraction form
    348,424.50/738,715.50 = 738,715.50/x
  3. Step 3: Cross multiply
    348,424.50x = 738,715.50 × 738,715.50
  4. Step 4: Simplify right side
    348,424.50x = 545,700,589,940.25
  5. Step 5: Solve for x
    x = 545,700,589,940.25/348,424.50
  6. Step 6: Final answer
    x = 1,566,194.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.