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Finding the Third Proportional to 511,639.03 and 852,661.69

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Solution

The third proportional to 511,639.03 and 852,661.69 is: 1,420,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,639.03 : 852,661.69 = 852,661.69 : x
  2. Step 2: Convert to fraction form
    511,639.03/852,661.69 = 852,661.69/x
  3. Step 3: Cross multiply
    511,639.03x = 852,661.69 × 852,661.69
  4. Step 4: Simplify right side
    511,639.03x = 727,031,953,330.35
  5. Step 5: Solve for x
    x = 727,031,953,330.35/511,639.03
  6. Step 6: Final answer
    x = 1,420,986.10

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.