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Finding the Third Proportional to 354,993 and 536,186

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Solution

The third proportional to 354,993 and 536,186 is: 809,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,993 : 536,186 = 536,186 : x
  2. Step 2: Convert to fraction form
    354,993/536,186 = 536,186/x
  3. Step 3: Cross multiply
    354,993x = 536,186 × 536,186
  4. Step 4: Simplify right side
    354,993x = 287,495,426,596
  5. Step 5: Solve for x
    x = 287,495,426,596/354,993
  6. Step 6: Final answer
    x = 809,862.24

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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.