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Finding the Third Proportional to 603,245 and 843,764

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Solution

The third proportional to 603,245 and 843,764 is: 1,180,180.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,245 : 843,764 = 843,764 : x
  2. Step 2: Convert to fraction form
    603,245/843,764 = 843,764/x
  3. Step 3: Cross multiply
    603,245x = 843,764 × 843,764
  4. Step 4: Simplify right side
    603,245x = 711,937,687,696
  5. Step 5: Solve for x
    x = 711,937,687,696/603,245
  6. Step 6: Final answer
    x = 1,180,180.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.