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Finding the Third Proportional to 376,776 and 819,000

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Solution

The third proportional to 376,776 and 819,000 is: 1,780,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,776 : 819,000 = 819,000 : x
  2. Step 2: Convert to fraction form
    376,776/819,000 = 819,000/x
  3. Step 3: Cross multiply
    376,776x = 819,000 × 819,000
  4. Step 4: Simplify right side
    376,776x = 670,761,000,000
  5. Step 5: Solve for x
    x = 670,761,000,000/376,776
  6. Step 6: Final answer
    x = 1,780,264.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.