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Finding the Third Proportional to 355,006 and 536,205

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Solution

The third proportional to 355,006 and 536,205 is: 809,889.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,006 : 536,205 = 536,205 : x
  2. Step 2: Convert to fraction form
    355,006/536,205 = 536,205/x
  3. Step 3: Cross multiply
    355,006x = 536,205 × 536,205
  4. Step 4: Simplify right side
    355,006x = 287,515,802,025
  5. Step 5: Solve for x
    x = 287,515,802,025/355,006
  6. Step 6: Final answer
    x = 809,889.98

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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.