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Finding the Third Proportional to 283,182.75 and 411,401.25

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Solution

The third proportional to 283,182.75 and 411,401.25 is: 597,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,182.75 : 411,401.25 = 411,401.25 : x
  2. Step 2: Convert to fraction form
    283,182.75/411,401.25 = 411,401.25/x
  3. Step 3: Cross multiply
    283,182.75x = 411,401.25 × 411,401.25
  4. Step 4: Simplify right side
    283,182.75x = 169,250,988,501.56
  5. Step 5: Solve for x
    x = 169,250,988,501.56/283,182.75
  6. Step 6: Final answer
    x = 597,674.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.