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Finding the Third Proportional to 355,004 and 536,202

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Solution

The third proportional to 355,004 and 536,202 is: 809,885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,004 : 536,202 = 536,202 : x
  2. Step 2: Convert to fraction form
    355,004/536,202 = 536,202/x
  3. Step 3: Cross multiply
    355,004x = 536,202 × 536,202
  4. Step 4: Simplify right side
    355,004x = 287,512,584,804
  5. Step 5: Solve for x
    x = 287,512,584,804/355,004
  6. Step 6: Final answer
    x = 809,885.48

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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.