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Finding the Third Proportional to 350,523 and 744,795

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Solution

The third proportional to 350,523 and 744,795 is: 1,582,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,523 : 744,795 = 744,795 : x
  2. Step 2: Convert to fraction form
    350,523/744,795 = 744,795/x
  3. Step 3: Cross multiply
    350,523x = 744,795 × 744,795
  4. Step 4: Simplify right side
    350,523x = 554,719,592,025
  5. Step 5: Solve for x
    x = 554,719,592,025/350,523
  6. Step 6: Final answer
    x = 1,582,548.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.