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Finding the Third Proportional to 531,909 and 798,410

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Solution

The third proportional to 531,909 and 798,410 is: 1,198,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,909 : 798,410 = 798,410 : x
  2. Step 2: Convert to fraction form
    531,909/798,410 = 798,410/x
  3. Step 3: Cross multiply
    531,909x = 798,410 × 798,410
  4. Step 4: Simplify right side
    531,909x = 637,458,528,100
  5. Step 5: Solve for x
    x = 637,458,528,100/531,909
  6. Step 6: Final answer
    x = 1,198,435.31

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