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Finding the Third Proportional to 233,212.50 and 483,030

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Solution

The third proportional to 233,212.50 and 483,030 is: 1,000,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,212.50 : 483,030 = 483,030 : x
  2. Step 2: Convert to fraction form
    233,212.50/483,030 = 483,030/x
  3. Step 3: Cross multiply
    233,212.50x = 483,030 × 483,030
  4. Step 4: Simplify right side
    233,212.50x = 233,317,980,900
  5. Step 5: Solve for x
    x = 233,317,980,900/233,212.50
  6. Step 6: Final answer
    x = 1,000,452.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.