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Finding the Third Proportional to 373,349 and 819,274

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Solution

The third proportional to 373,349 and 819,274 is: 1,797,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,349 : 819,274 = 819,274 : x
  2. Step 2: Convert to fraction form
    373,349/819,274 = 819,274/x
  3. Step 3: Cross multiply
    373,349x = 819,274 × 819,274
  4. Step 4: Simplify right side
    373,349x = 671,209,887,076
  5. Step 5: Solve for x
    x = 671,209,887,076/373,349
  6. Step 6: Final answer
    x = 1,797,808.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.