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Finding the Third Proportional to 230,072 and 492,128

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Solution

The third proportional to 230,072 and 492,128 is: 1,052,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,072 : 492,128 = 492,128 : x
  2. Step 2: Convert to fraction form
    230,072/492,128 = 492,128/x
  3. Step 3: Cross multiply
    230,072x = 492,128 × 492,128
  4. Step 4: Simplify right side
    230,072x = 242,189,968,384
  5. Step 5: Solve for x
    x = 242,189,968,384/230,072
  6. Step 6: Final answer
    x = 1,052,670.33

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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.