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Finding the Third Proportional to 397,656 and 602,274

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Solution

The third proportional to 397,656 and 602,274 is: 912,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,656 : 602,274 = 602,274 : x
  2. Step 2: Convert to fraction form
    397,656/602,274 = 602,274/x
  3. Step 3: Cross multiply
    397,656x = 602,274 × 602,274
  4. Step 4: Simplify right side
    397,656x = 362,733,971,076
  5. Step 5: Solve for x
    x = 362,733,971,076/397,656
  6. Step 6: Final answer
    x = 912,180.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.