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Finding the Third Proportional to 233,955.75 and 478,995

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Solution

The third proportional to 233,955.75 and 478,995 is: 980,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,955.75 : 478,995 = 478,995 : x
  2. Step 2: Convert to fraction form
    233,955.75/478,995 = 478,995/x
  3. Step 3: Cross multiply
    233,955.75x = 478,995 × 478,995
  4. Step 4: Simplify right side
    233,955.75x = 229,436,210,025
  5. Step 5: Solve for x
    x = 229,436,210,025/233,955.75
  6. Step 6: Final answer
    x = 980,682.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.