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Finding the Third Proportional to 369,992 and 553,504

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Solution

The third proportional to 369,992 and 553,504 is: 828,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,992 : 553,504 = 553,504 : x
  2. Step 2: Convert to fraction form
    369,992/553,504 = 553,504/x
  3. Step 3: Cross multiply
    369,992x = 553,504 × 553,504
  4. Step 4: Simplify right side
    369,992x = 306,366,678,016
  5. Step 5: Solve for x
    x = 306,366,678,016/369,992
  6. Step 6: Final answer
    x = 828,035.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.