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Finding the Third Proportional to 366,768 and 777,686.06

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Solution

The third proportional to 366,768 and 777,686.06 is: 1,648,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,768 : 777,686.06 = 777,686.06 : x
  2. Step 2: Convert to fraction form
    366,768/777,686.06 = 777,686.06/x
  3. Step 3: Cross multiply
    366,768x = 777,686.06 × 777,686.06
  4. Step 4: Simplify right side
    366,768x = 604,795,611,806.75
  5. Step 5: Solve for x
    x = 604,795,611,806.75/366,768
  6. Step 6: Final answer
    x = 1,648,986.86

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.