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Finding the Third Proportional to 230,106 and 492,994

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Solution

The third proportional to 230,106 and 492,994 is: 1,056,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,106 : 492,994 = 492,994 : x
  2. Step 2: Convert to fraction form
    230,106/492,994 = 492,994/x
  3. Step 3: Cross multiply
    230,106x = 492,994 × 492,994
  4. Step 4: Simplify right side
    230,106x = 243,043,084,036
  5. Step 5: Solve for x
    x = 243,043,084,036/230,106
  6. Step 6: Final answer
    x = 1,056,222.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.