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Finding the Third Proportional to 394,852 and 866,528

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Solution

The third proportional to 394,852 and 866,528 is: 1,901,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,852 : 866,528 = 866,528 : x
  2. Step 2: Convert to fraction form
    394,852/866,528 = 866,528/x
  3. Step 3: Cross multiply
    394,852x = 866,528 × 866,528
  4. Step 4: Simplify right side
    394,852x = 750,870,774,784
  5. Step 5: Solve for x
    x = 750,870,774,784/394,852
  6. Step 6: Final answer
    x = 1,901,651.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.