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Finding the Third Proportional to 427,092.75 and 866,457

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Solution

The third proportional to 427,092.75 and 866,457 is: 1,757,809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,092.75 : 866,457 = 866,457 : x
  2. Step 2: Convert to fraction form
    427,092.75/866,457 = 866,457/x
  3. Step 3: Cross multiply
    427,092.75x = 866,457 × 866,457
  4. Step 4: Simplify right side
    427,092.75x = 750,747,732,849
  5. Step 5: Solve for x
    x = 750,747,732,849/427,092.75
  6. Step 6: Final answer
    x = 1,757,809.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.