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Finding the Third Proportional to 342,273 and 529,994

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Solution

The third proportional to 342,273 and 529,994 is: 820,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,273 : 529,994 = 529,994 : x
  2. Step 2: Convert to fraction form
    342,273/529,994 = 529,994/x
  3. Step 3: Cross multiply
    342,273x = 529,994 × 529,994
  4. Step 4: Simplify right side
    342,273x = 280,893,640,036
  5. Step 5: Solve for x
    x = 280,893,640,036/342,273
  6. Step 6: Final answer
    x = 820,671.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.