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Finding the Third Proportional to 348,034 and 737,254

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Solution

The third proportional to 348,034 and 737,254 is: 1,561,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,034 : 737,254 = 737,254 : x
  2. Step 2: Convert to fraction form
    348,034/737,254 = 737,254/x
  3. Step 3: Cross multiply
    348,034x = 737,254 × 737,254
  4. Step 4: Simplify right side
    348,034x = 543,543,460,516
  5. Step 5: Solve for x
    x = 543,543,460,516/348,034
  6. Step 6: Final answer
    x = 1,561,753.91

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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.