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Finding the Third Proportional to 229,496 and 350,824

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Solution

The third proportional to 229,496 and 350,824 is: 536,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,496 : 350,824 = 350,824 : x
  2. Step 2: Convert to fraction form
    229,496/350,824 = 350,824/x
  3. Step 3: Cross multiply
    229,496x = 350,824 × 350,824
  4. Step 4: Simplify right side
    229,496x = 123,077,478,976
  5. Step 5: Solve for x
    x = 123,077,478,976/229,496
  6. Step 6: Final answer
    x = 536,294.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.