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Finding the Third Proportional to 229,074.75 and 492,052.50

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Solution

The third proportional to 229,074.75 and 492,052.50 is: 1,056,928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,074.75 : 492,052.50 = 492,052.50 : x
  2. Step 2: Convert to fraction form
    229,074.75/492,052.50 = 492,052.50/x
  3. Step 3: Cross multiply
    229,074.75x = 492,052.50 × 492,052.50
  4. Step 4: Simplify right side
    229,074.75x = 242,115,662,756.25
  5. Step 5: Solve for x
    x = 242,115,662,756.25/229,074.75
  6. Step 6: Final answer
    x = 1,056,928.63

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Why These Related Problems?

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