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Finding the Third Proportional to 368,039 and 553,901

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Solution

The third proportional to 368,039 and 553,901 is: 833,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,039 : 553,901 = 553,901 : x
  2. Step 2: Convert to fraction form
    368,039/553,901 = 553,901/x
  3. Step 3: Cross multiply
    368,039x = 553,901 × 553,901
  4. Step 4: Simplify right side
    368,039x = 306,806,317,801
  5. Step 5: Solve for x
    x = 306,806,317,801/368,039
  6. Step 6: Final answer
    x = 833,624.47

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Why These Related Problems?

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