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Finding the Third Proportional to 230,090 and 500,662

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Solution

The third proportional to 230,090 and 500,662 is: 1,089,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,090 : 500,662 = 500,662 : x
  2. Step 2: Convert to fraction form
    230,090/500,662 = 500,662/x
  3. Step 3: Cross multiply
    230,090x = 500,662 × 500,662
  4. Step 4: Simplify right side
    230,090x = 250,662,438,244
  5. Step 5: Solve for x
    x = 250,662,438,244/230,090
  6. Step 6: Final answer
    x = 1,089,410.40

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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.