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Finding the Third Proportional to 233,821.50 and 504,129

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Solution

The third proportional to 233,821.50 and 504,129 is: 1,086,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,821.50 : 504,129 = 504,129 : x
  2. Step 2: Convert to fraction form
    233,821.50/504,129 = 504,129/x
  3. Step 3: Cross multiply
    233,821.50x = 504,129 × 504,129
  4. Step 4: Simplify right side
    233,821.50x = 254,146,048,641
  5. Step 5: Solve for x
    x = 254,146,048,641/233,821.50
  6. Step 6: Final answer
    x = 1,086,923.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.