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Finding the Third Proportional to 368,120.95 and 769,592.39

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Solution

The third proportional to 368,120.95 and 769,592.39 is: 1,608,907.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,120.95 : 769,592.39 = 769,592.39 : x
  2. Step 2: Convert to fraction form
    368,120.95/769,592.39 = 769,592.39/x
  3. Step 3: Cross multiply
    368,120.95x = 769,592.39 × 769,592.39
  4. Step 4: Simplify right side
    368,120.95x = 592,272,447,707.90
  5. Step 5: Solve for x
    x = 592,272,447,707.90/368,120.95
  6. Step 6: Final answer
    x = 1,608,907.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.