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Finding the Third Proportional to 504,450 and 737,275

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Solution

The third proportional to 504,450 and 737,275 is: 1,077,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,450 : 737,275 = 737,275 : x
  2. Step 2: Convert to fraction form
    504,450/737,275 = 737,275/x
  3. Step 3: Cross multiply
    504,450x = 737,275 × 737,275
  4. Step 4: Simplify right side
    504,450x = 543,574,425,625
  5. Step 5: Solve for x
    x = 543,574,425,625/504,450
  6. Step 6: Final answer
    x = 1,077,558.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.