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Finding the Third Proportional to 233,344.50 and 511,887

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Solution

The third proportional to 233,344.50 and 511,887 is: 1,122,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,344.50 : 511,887 = 511,887 : x
  2. Step 2: Convert to fraction form
    233,344.50/511,887 = 511,887/x
  3. Step 3: Cross multiply
    233,344.50x = 511,887 × 511,887
  4. Step 4: Simplify right side
    233,344.50x = 262,028,300,769
  5. Step 5: Solve for x
    x = 262,028,300,769/233,344.50
  6. Step 6: Final answer
    x = 1,122,924.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.