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Finding the Third Proportional to 233,717.63 and 511,904.25

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Solution

The third proportional to 233,717.63 and 511,904.25 is: 1,121,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,717.63 : 511,904.25 = 511,904.25 : x
  2. Step 2: Convert to fraction form
    233,717.63/511,904.25 = 511,904.25/x
  3. Step 3: Cross multiply
    233,717.63x = 511,904.25 × 511,904.25
  4. Step 4: Simplify right side
    233,717.63x = 262,045,961,168.06
  5. Step 5: Solve for x
    x = 262,045,961,168.06/233,717.63
  6. Step 6: Final answer
    x = 1,121,207.53

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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.