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Finding the Third Proportional to 225,451.50 and 492,454.50

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Solution

The third proportional to 225,451.50 and 492,454.50 is: 1,075,670.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,451.50 : 492,454.50 = 492,454.50 : x
  2. Step 2: Convert to fraction form
    225,451.50/492,454.50 = 492,454.50/x
  3. Step 3: Cross multiply
    225,451.50x = 492,454.50 × 492,454.50
  4. Step 4: Simplify right side
    225,451.50x = 242,511,434,570.25
  5. Step 5: Solve for x
    x = 242,511,434,570.25/225,451.50
  6. Step 6: Final answer
    x = 1,075,670.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.