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Finding the Third Proportional to 296,284 and 423,390

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Solution

The third proportional to 296,284 and 423,390 is: 605,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,284 : 423,390 = 423,390 : x
  2. Step 2: Convert to fraction form
    296,284/423,390 = 423,390/x
  3. Step 3: Cross multiply
    296,284x = 423,390 × 423,390
  4. Step 4: Simplify right side
    296,284x = 179,259,092,100
  5. Step 5: Solve for x
    x = 179,259,092,100/296,284
  6. Step 6: Final answer
    x = 605,024.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.