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Finding the Third Proportional to 362,223.94 and 786,670.88

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Solution

The third proportional to 362,223.94 and 786,670.88 is: 1,708,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,223.94 : 786,670.88 = 786,670.88 : x
  2. Step 2: Convert to fraction form
    362,223.94/786,670.88 = 786,670.88/x
  3. Step 3: Cross multiply
    362,223.94x = 786,670.88 × 786,670.88
  4. Step 4: Simplify right side
    362,223.94x = 618,851,065,573.27
  5. Step 5: Solve for x
    x = 618,851,065,573.27/362,223.94
  6. Step 6: Final answer
    x = 1,708,476.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.