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Finding the Third Proportional to 344,455.50 and 503,074.50

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Solution

The third proportional to 344,455.50 and 503,074.50 is: 734,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,455.50 : 503,074.50 = 503,074.50 : x
  2. Step 2: Convert to fraction form
    344,455.50/503,074.50 = 503,074.50/x
  3. Step 3: Cross multiply
    344,455.50x = 503,074.50 × 503,074.50
  4. Step 4: Simplify right side
    344,455.50x = 253,083,952,550.25
  5. Step 5: Solve for x
    x = 253,083,952,550.25/344,455.50
  6. Step 6: Final answer
    x = 734,736.28

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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.