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Finding the Third Proportional to 531,810 and 798,083

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Solution

The third proportional to 531,810 and 798,083 is: 1,197,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,810 : 798,083 = 798,083 : x
  2. Step 2: Convert to fraction form
    531,810/798,083 = 798,083/x
  3. Step 3: Cross multiply
    531,810x = 798,083 × 798,083
  4. Step 4: Simplify right side
    531,810x = 636,936,474,889
  5. Step 5: Solve for x
    x = 636,936,474,889/531,810
  6. Step 6: Final answer
    x = 1,197,676.75

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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.