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Finding the Third Proportional to 377,804.25 and 777,762

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Solution

The third proportional to 377,804.25 and 777,762 is: 1,601,130.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,804.25 : 777,762 = 777,762 : x
  2. Step 2: Convert to fraction form
    377,804.25/777,762 = 777,762/x
  3. Step 3: Cross multiply
    377,804.25x = 777,762 × 777,762
  4. Step 4: Simplify right side
    377,804.25x = 604,913,728,644
  5. Step 5: Solve for x
    x = 604,913,728,644/377,804.25
  6. Step 6: Final answer
    x = 1,601,130.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.