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Finding the Third Proportional to 436,908 and 590,288

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Solution

The third proportional to 436,908 and 590,288 is: 797,513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,908 : 590,288 = 590,288 : x
  2. Step 2: Convert to fraction form
    436,908/590,288 = 590,288/x
  3. Step 3: Cross multiply
    436,908x = 590,288 × 590,288
  4. Step 4: Simplify right side
    436,908x = 348,439,922,944
  5. Step 5: Solve for x
    x = 348,439,922,944/436,908
  6. Step 6: Final answer
    x = 797,513.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.