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Finding the Third Proportional to 368,404 and 553,974.50

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Solution

The third proportional to 368,404 and 553,974.50 is: 833,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,404 : 553,974.50 = 553,974.50 : x
  2. Step 2: Convert to fraction form
    368,404/553,974.50 = 553,974.50/x
  3. Step 3: Cross multiply
    368,404x = 553,974.50 × 553,974.50
  4. Step 4: Simplify right side
    368,404x = 306,887,746,650.25
  5. Step 5: Solve for x
    x = 306,887,746,650.25/368,404
  6. Step 6: Final answer
    x = 833,019.58

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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.