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Finding the Third Proportional to 436,913 and 590,298

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Solution

The third proportional to 436,913 and 590,298 is: 797,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,913 : 590,298 = 590,298 : x
  2. Step 2: Convert to fraction form
    436,913/590,298 = 590,298/x
  3. Step 3: Cross multiply
    436,913x = 590,298 × 590,298
  4. Step 4: Simplify right side
    436,913x = 348,451,728,804
  5. Step 5: Solve for x
    x = 348,451,728,804/436,913
  6. Step 6: Final answer
    x = 797,531.15

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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.