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Finding the Third Proportional to 233,222.63 and 507,930.75

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Solution

The third proportional to 233,222.63 and 507,930.75 is: 1,106,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,222.63 : 507,930.75 = 507,930.75 : x
  2. Step 2: Convert to fraction form
    233,222.63/507,930.75 = 507,930.75/x
  3. Step 3: Cross multiply
    233,222.63x = 507,930.75 × 507,930.75
  4. Step 4: Simplify right side
    233,222.63x = 257,993,646,795.56
  5. Step 5: Solve for x
    x = 257,993,646,795.56/233,222.63
  6. Step 6: Final answer
    x = 1,106,211.92

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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.