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Finding the Third Proportional to 230,025 and 500,550

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Solution

The third proportional to 230,025 and 500,550 is: 1,089,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,025 : 500,550 = 500,550 : x
  2. Step 2: Convert to fraction form
    230,025/500,550 = 500,550/x
  3. Step 3: Cross multiply
    230,025x = 500,550 × 500,550
  4. Step 4: Simplify right side
    230,025x = 250,550,302,500
  5. Step 5: Solve for x
    x = 250,550,302,500/230,025
  6. Step 6: Final answer
    x = 1,089,230.75

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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.