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Finding the Third Proportional to 504,468 and 737,302

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Solution

The third proportional to 504,468 and 737,302 is: 1,077,599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,468 : 737,302 = 737,302 : x
  2. Step 2: Convert to fraction form
    504,468/737,302 = 737,302/x
  3. Step 3: Cross multiply
    504,468x = 737,302 × 737,302
  4. Step 4: Simplify right side
    504,468x = 543,614,239,204
  5. Step 5: Solve for x
    x = 543,614,239,204/504,468
  6. Step 6: Final answer
    x = 1,077,599.05

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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.