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Finding the Third Proportional to 348,604.50 and 739,063.50

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Solution

The third proportional to 348,604.50 and 739,063.50 is: 1,566,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,604.50 : 739,063.50 = 739,063.50 : x
  2. Step 2: Convert to fraction form
    348,604.50/739,063.50 = 739,063.50/x
  3. Step 3: Cross multiply
    348,604.50x = 739,063.50 × 739,063.50
  4. Step 4: Simplify right side
    348,604.50x = 546,214,857,032.25
  5. Step 5: Solve for x
    x = 546,214,857,032.25/348,604.50
  6. Step 6: Final answer
    x = 1,566,861.18

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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.