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Finding the Third Proportional to 395,809 and 771,813.50

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Solution

The third proportional to 395,809 and 771,813.50 is: 1,505,008.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,809 : 771,813.50 = 771,813.50 : x
  2. Step 2: Convert to fraction form
    395,809/771,813.50 = 771,813.50/x
  3. Step 3: Cross multiply
    395,809x = 771,813.50 × 771,813.50
  4. Step 4: Simplify right side
    395,809x = 595,696,078,782.25
  5. Step 5: Solve for x
    x = 595,696,078,782.25/395,809
  6. Step 6: Final answer
    x = 1,505,008.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.