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Finding the Third Proportional to 302,496.75 and 658,334.25

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Solution

The third proportional to 302,496.75 and 658,334.25 is: 1,432,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,496.75 : 658,334.25 = 658,334.25 : x
  2. Step 2: Convert to fraction form
    302,496.75/658,334.25 = 658,334.25/x
  3. Step 3: Cross multiply
    302,496.75x = 658,334.25 × 658,334.25
  4. Step 4: Simplify right side
    302,496.75x = 433,403,984,723.06
  5. Step 5: Solve for x
    x = 433,403,984,723.06/302,496.75
  6. Step 6: Final answer
    x = 1,432,755.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.