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Finding the Third Proportional to 531,804 and 798,074

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Solution

The third proportional to 531,804 and 798,074 is: 1,197,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,804 : 798,074 = 798,074 : x
  2. Step 2: Convert to fraction form
    531,804/798,074 = 798,074/x
  3. Step 3: Cross multiply
    531,804x = 798,074 × 798,074
  4. Step 4: Simplify right side
    531,804x = 636,922,109,476
  5. Step 5: Solve for x
    x = 636,922,109,476/531,804
  6. Step 6: Final answer
    x = 1,197,663.25

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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.