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Finding the Third Proportional to 363,852 and 553,122

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Solution

The third proportional to 363,852 and 553,122 is: 840,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,852 : 553,122 = 553,122 : x
  2. Step 2: Convert to fraction form
    363,852/553,122 = 553,122/x
  3. Step 3: Cross multiply
    363,852x = 553,122 × 553,122
  4. Step 4: Simplify right side
    363,852x = 305,943,946,884
  5. Step 5: Solve for x
    x = 305,943,946,884/363,852
  6. Step 6: Final answer
    x = 840,847.23

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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.