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Finding the Third Proportional to 366,464.25 and 560,596.50

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Solution

The third proportional to 366,464.25 and 560,596.50 is: 857,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,464.25 : 560,596.50 = 560,596.50 : x
  2. Step 2: Convert to fraction form
    366,464.25/560,596.50 = 560,596.50/x
  3. Step 3: Cross multiply
    366,464.25x = 560,596.50 × 560,596.50
  4. Step 4: Simplify right side
    366,464.25x = 314,268,435,812.25
  5. Step 5: Solve for x
    x = 314,268,435,812.25/366,464.25
  6. Step 6: Final answer
    x = 857,569.15

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.