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Finding the Third Proportional to 348,034.50 and 737,251.50

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Solution

The third proportional to 348,034.50 and 737,251.50 is: 1,561,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,034.50 : 737,251.50 = 737,251.50 : x
  2. Step 2: Convert to fraction form
    348,034.50/737,251.50 = 737,251.50/x
  3. Step 3: Cross multiply
    348,034.50x = 737,251.50 × 737,251.50
  4. Step 4: Simplify right side
    348,034.50x = 543,539,774,252.25
  5. Step 5: Solve for x
    x = 543,539,774,252.25/348,034.50
  6. Step 6: Final answer
    x = 1,561,741.08

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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.