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Finding the Third Proportional to 369,741.75 and 776,840.25

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Solution

The third proportional to 369,741.75 and 776,840.25 is: 1,632,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,741.75 : 776,840.25 = 776,840.25 : x
  2. Step 2: Convert to fraction form
    369,741.75/776,840.25 = 776,840.25/x
  3. Step 3: Cross multiply
    369,741.75x = 776,840.25 × 776,840.25
  4. Step 4: Simplify right side
    369,741.75x = 603,480,774,020.06
  5. Step 5: Solve for x
    x = 603,480,774,020.06/369,741.75
  6. Step 6: Final answer
    x = 1,632,168.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.