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Finding the Third Proportional to 225,094 and 492,014

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Solution

The third proportional to 225,094 and 492,014 is: 1,075,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,094 : 492,014 = 492,014 : x
  2. Step 2: Convert to fraction form
    225,094/492,014 = 492,014/x
  3. Step 3: Cross multiply
    225,094x = 492,014 × 492,014
  4. Step 4: Simplify right side
    225,094x = 242,077,776,196
  5. Step 5: Solve for x
    x = 242,077,776,196/225,094
  6. Step 6: Final answer
    x = 1,075,451.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.