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Finding the Third Proportional to 436,921 and 590,307

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Solution

The third proportional to 436,921 and 590,307 is: 797,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,921 : 590,307 = 590,307 : x
  2. Step 2: Convert to fraction form
    436,921/590,307 = 590,307/x
  3. Step 3: Cross multiply
    436,921x = 590,307 × 590,307
  4. Step 4: Simplify right side
    436,921x = 348,462,354,249
  5. Step 5: Solve for x
    x = 348,462,354,249/436,921
  6. Step 6: Final answer
    x = 797,540.87

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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.