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Finding the Third Proportional to 362,400.75 and 780,464.25

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Solution

The third proportional to 362,400.75 and 780,464.25 is: 1,680,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,400.75 : 780,464.25 = 780,464.25 : x
  2. Step 2: Convert to fraction form
    362,400.75/780,464.25 = 780,464.25/x
  3. Step 3: Cross multiply
    362,400.75x = 780,464.25 × 780,464.25
  4. Step 4: Simplify right side
    362,400.75x = 609,124,445,528.06
  5. Step 5: Solve for x
    x = 609,124,445,528.06/362,400.75
  6. Step 6: Final answer
    x = 1,680,803.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.