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Finding the Third Proportional to 436,966 and 590,371

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Solution

The third proportional to 436,966 and 590,371 is: 797,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,966 : 590,371 = 590,371 : x
  2. Step 2: Convert to fraction form
    436,966/590,371 = 590,371/x
  3. Step 3: Cross multiply
    436,966x = 590,371 × 590,371
  4. Step 4: Simplify right side
    436,966x = 348,537,917,641
  5. Step 5: Solve for x
    x = 348,537,917,641/436,966
  6. Step 6: Final answer
    x = 797,631.66

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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.