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Finding the Third Proportional to 577,327 and 831,613

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Solution

The third proportional to 577,327 and 831,613 is: 1,197,900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,327 : 831,613 = 831,613 : x
  2. Step 2: Convert to fraction form
    577,327/831,613 = 831,613/x
  3. Step 3: Cross multiply
    577,327x = 831,613 × 831,613
  4. Step 4: Simplify right side
    577,327x = 691,580,181,769
  5. Step 5: Solve for x
    x = 691,580,181,769/577,327
  6. Step 6: Final answer
    x = 1,197,900.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.