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Finding the Third Proportional to 531,812 and 798,086

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Solution

The third proportional to 531,812 and 798,086 is: 1,197,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,812 : 798,086 = 798,086 : x
  2. Step 2: Convert to fraction form
    531,812/798,086 = 798,086/x
  3. Step 3: Cross multiply
    531,812x = 798,086 × 798,086
  4. Step 4: Simplify right side
    531,812x = 636,941,263,396
  5. Step 5: Solve for x
    x = 636,941,263,396/531,812
  6. Step 6: Final answer
    x = 1,197,681.25

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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.