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Finding the Third Proportional to 379,467 and 576,967.50

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Solution

The third proportional to 379,467 and 576,967.50 is: 877,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,467 : 576,967.50 = 576,967.50 : x
  2. Step 2: Convert to fraction form
    379,467/576,967.50 = 576,967.50/x
  3. Step 3: Cross multiply
    379,467x = 576,967.50 × 576,967.50
  4. Step 4: Simplify right side
    379,467x = 332,891,496,056.25
  5. Step 5: Solve for x
    x = 332,891,496,056.25/379,467
  6. Step 6: Final answer
    x = 877,260.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.