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Finding the Third Proportional to 531,777 and 798,052

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Solution

The third proportional to 531,777 and 798,052 is: 1,197,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,777 : 798,052 = 798,052 : x
  2. Step 2: Convert to fraction form
    531,777/798,052 = 798,052/x
  3. Step 3: Cross multiply
    531,777x = 798,052 × 798,052
  4. Step 4: Simplify right side
    531,777x = 636,886,994,704
  5. Step 5: Solve for x
    x = 636,886,994,704/531,777
  6. Step 6: Final answer
    x = 1,197,658.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.