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Finding the Third Proportional to 596,495.25 and 903,425.63

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Solution

The third proportional to 596,495.25 and 903,425.63 is: 1,368,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,495.25 : 903,425.63 = 903,425.63 : x
  2. Step 2: Convert to fraction form
    596,495.25/903,425.63 = 903,425.63/x
  3. Step 3: Cross multiply
    596,495.25x = 903,425.63 × 903,425.63
  4. Step 4: Simplify right side
    596,495.25x = 816,177,859,906.64
  5. Step 5: Solve for x
    x = 816,177,859,906.64/596,495.25
  6. Step 6: Final answer
    x = 1,368,288.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.