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Finding the Third Proportional to 577,361 and 831,664.50

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Solution

The third proportional to 577,361 and 831,664.50 is: 1,197,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,361 : 831,664.50 = 831,664.50 : x
  2. Step 2: Convert to fraction form
    577,361/831,664.50 = 831,664.50/x
  3. Step 3: Cross multiply
    577,361x = 831,664.50 × 831,664.50
  4. Step 4: Simplify right side
    577,361x = 691,665,840,560.25
  5. Step 5: Solve for x
    x = 691,665,840,560.25/577,361
  6. Step 6: Final answer
    x = 1,197,978.11

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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.