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Finding the Third Proportional to 175,818 and 387,492

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Solution

The third proportional to 175,818 and 387,492 is: 854,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,818 : 387,492 = 387,492 : x
  2. Step 2: Convert to fraction form
    175,818/387,492 = 387,492/x
  3. Step 3: Cross multiply
    175,818x = 387,492 × 387,492
  4. Step 4: Simplify right side
    175,818x = 150,150,050,064
  5. Step 5: Solve for x
    x = 150,150,050,064/175,818
  6. Step 6: Final answer
    x = 854,008.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.