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Finding the Third Proportional to 350,032 and 763,416

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Solution

The third proportional to 350,032 and 763,416 is: 1,665,002.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,032 : 763,416 = 763,416 : x
  2. Step 2: Convert to fraction form
    350,032/763,416 = 763,416/x
  3. Step 3: Cross multiply
    350,032x = 763,416 × 763,416
  4. Step 4: Simplify right side
    350,032x = 582,803,989,056
  5. Step 5: Solve for x
    x = 582,803,989,056/350,032
  6. Step 6: Final answer
    x = 1,665,002.03

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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.