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Finding the Third Proportional to 236,451 and 514,374

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Solution

The third proportional to 236,451 and 514,374 is: 1,118,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,451 : 514,374 = 514,374 : x
  2. Step 2: Convert to fraction form
    236,451/514,374 = 514,374/x
  3. Step 3: Cross multiply
    236,451x = 514,374 × 514,374
  4. Step 4: Simplify right side
    236,451x = 264,580,611,876
  5. Step 5: Solve for x
    x = 264,580,611,876/236,451
  6. Step 6: Final answer
    x = 1,118,965.92

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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.