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Finding the Third Proportional to 374,156 and 820,750

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Solution

The third proportional to 374,156 and 820,750 is: 1,800,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,156 : 820,750 = 820,750 : x
  2. Step 2: Convert to fraction form
    374,156/820,750 = 820,750/x
  3. Step 3: Cross multiply
    374,156x = 820,750 × 820,750
  4. Step 4: Simplify right side
    374,156x = 673,630,562,500
  5. Step 5: Solve for x
    x = 673,630,562,500/374,156
  6. Step 6: Final answer
    x = 1,800,400.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.