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Finding the Third Proportional to 368,354 and 553,898

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Solution

The third proportional to 368,354 and 553,898 is: 832,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,354 : 553,898 = 553,898 : x
  2. Step 2: Convert to fraction form
    368,354/553,898 = 553,898/x
  3. Step 3: Cross multiply
    368,354x = 553,898 × 553,898
  4. Step 4: Simplify right side
    368,354x = 306,802,994,404
  5. Step 5: Solve for x
    x = 306,802,994,404/368,354
  6. Step 6: Final answer
    x = 832,902.57

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Why These Related Problems?

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