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Finding the Third Proportional to 348,048 and 737,280

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Solution

The third proportional to 348,048 and 737,280 is: 1,561,801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,048 : 737,280 = 737,280 : x
  2. Step 2: Convert to fraction form
    348,048/737,280 = 737,280/x
  3. Step 3: Cross multiply
    348,048x = 737,280 × 737,280
  4. Step 4: Simplify right side
    348,048x = 543,581,798,400
  5. Step 5: Solve for x
    x = 543,581,798,400/348,048
  6. Step 6: Final answer
    x = 1,561,801.24

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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.