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Finding the Third Proportional to 363,873 and 553,152

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Solution

The third proportional to 363,873 and 553,152 is: 840,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,873 : 553,152 = 553,152 : x
  2. Step 2: Convert to fraction form
    363,873/553,152 = 553,152/x
  3. Step 3: Cross multiply
    363,873x = 553,152 × 553,152
  4. Step 4: Simplify right side
    363,873x = 305,977,135,104
  5. Step 5: Solve for x
    x = 305,977,135,104/363,873
  6. Step 6: Final answer
    x = 840,889.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.