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Finding the Third Proportional to 577,360 and 831,663

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Solution

The third proportional to 577,360 and 831,663 is: 1,197,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,360 : 831,663 = 831,663 : x
  2. Step 2: Convert to fraction form
    577,360/831,663 = 831,663/x
  3. Step 3: Cross multiply
    577,360x = 831,663 × 831,663
  4. Step 4: Simplify right side
    577,360x = 691,663,345,569
  5. Step 5: Solve for x
    x = 691,663,345,569/577,360
  6. Step 6: Final answer
    x = 1,197,975.87

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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.