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Finding the Third Proportional to 511,818.75 and 794,706.19

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Solution

The third proportional to 511,818.75 and 794,706.19 is: 1,233,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,818.75 : 794,706.19 = 794,706.19 : x
  2. Step 2: Convert to fraction form
    511,818.75/794,706.19 = 794,706.19/x
  3. Step 3: Cross multiply
    511,818.75x = 794,706.19 × 794,706.19
  4. Step 4: Simplify right side
    511,818.75x = 631,557,924,450.79
  5. Step 5: Solve for x
    x = 631,557,924,450.79/511,818.75
  6. Step 6: Final answer
    x = 1,233,948.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.