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Finding the Third Proportional to 504,501.75 and 737,327.25

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Solution

The third proportional to 504,501.75 and 737,327.25 is: 1,077,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,501.75 : 737,327.25 = 737,327.25 : x
  2. Step 2: Convert to fraction form
    504,501.75/737,327.25 = 737,327.25/x
  3. Step 3: Cross multiply
    504,501.75x = 737,327.25 × 737,327.25
  4. Step 4: Simplify right side
    504,501.75x = 543,651,473,592.56
  5. Step 5: Solve for x
    x = 543,651,473,592.56/504,501.75
  6. Step 6: Final answer
    x = 1,077,600.77

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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.