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Finding the Third Proportional to 343,548 and 737,883

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Solution

The third proportional to 343,548 and 737,883 is: 1,584,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,548 : 737,883 = 737,883 : x
  2. Step 2: Convert to fraction form
    343,548/737,883 = 737,883/x
  3. Step 3: Cross multiply
    343,548x = 737,883 × 737,883
  4. Step 4: Simplify right side
    343,548x = 544,471,321,689
  5. Step 5: Solve for x
    x = 544,471,321,689/343,548
  6. Step 6: Final answer
    x = 1,584,847.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.