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Finding the Third Proportional to 233,303.63 and 511,805.25

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Solution

The third proportional to 233,303.63 and 511,805.25 is: 1,122,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,303.63 : 511,805.25 = 511,805.25 : x
  2. Step 2: Convert to fraction form
    233,303.63/511,805.25 = 511,805.25/x
  3. Step 3: Cross multiply
    233,303.63x = 511,805.25 × 511,805.25
  4. Step 4: Simplify right side
    233,303.63x = 261,944,613,927.56
  5. Step 5: Solve for x
    x = 261,944,613,927.56/233,303.63
  6. Step 6: Final answer
    x = 1,122,762.73

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