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Finding the Third Proportional to 230,091 and 492,969

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Solution

The third proportional to 230,091 and 492,969 is: 1,056,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,091 : 492,969 = 492,969 : x
  2. Step 2: Convert to fraction form
    230,091/492,969 = 492,969/x
  3. Step 3: Cross multiply
    230,091x = 492,969 × 492,969
  4. Step 4: Simplify right side
    230,091x = 243,018,434,961
  5. Step 5: Solve for x
    x = 243,018,434,961/230,091
  6. Step 6: Final answer
    x = 1,056,184.01

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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.