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Finding the Third Proportional to 233,266.50 and 490,025.25

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Solution

The third proportional to 233,266.50 and 490,025.25 is: 1,029,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,266.50 : 490,025.25 = 490,025.25 : x
  2. Step 2: Convert to fraction form
    233,266.50/490,025.25 = 490,025.25/x
  3. Step 3: Cross multiply
    233,266.50x = 490,025.25 × 490,025.25
  4. Step 4: Simplify right side
    233,266.50x = 240,124,745,637.56
  5. Step 5: Solve for x
    x = 240,124,745,637.56/233,266.50
  6. Step 6: Final answer
    x = 1,029,400.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.