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Finding the Third Proportional to 263,061 and 384,750

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Solution

The third proportional to 263,061 and 384,750 is: 562,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,061 : 384,750 = 384,750 : x
  2. Step 2: Convert to fraction form
    263,061/384,750 = 384,750/x
  3. Step 3: Cross multiply
    263,061x = 384,750 × 384,750
  4. Step 4: Simplify right side
    263,061x = 148,032,562,500
  5. Step 5: Solve for x
    x = 148,032,562,500/263,061
  6. Step 6: Final answer
    x = 562,730.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.