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Finding the Third Proportional to 354,931.88 and 774,915.61

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Solution

The third proportional to 354,931.88 and 774,915.61 is: 1,691,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,931.88 : 774,915.61 = 774,915.61 : x
  2. Step 2: Convert to fraction form
    354,931.88/774,915.61 = 774,915.61/x
  3. Step 3: Cross multiply
    354,931.88x = 774,915.61 × 774,915.61
  4. Step 4: Simplify right side
    354,931.88x = 600,494,201,653.03
  5. Step 5: Solve for x
    x = 600,494,201,653.03/354,931.88
  6. Step 6: Final answer
    x = 1,691,857.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.