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Finding the Third Proportional to 463,468 and 620,753

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Solution

The third proportional to 463,468 and 620,753 is: 831,415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,468 : 620,753 = 620,753 : x
  2. Step 2: Convert to fraction form
    463,468/620,753 = 620,753/x
  3. Step 3: Cross multiply
    463,468x = 620,753 × 620,753
  4. Step 4: Simplify right side
    463,468x = 385,334,287,009
  5. Step 5: Solve for x
    x = 385,334,287,009/463,468
  6. Step 6: Final answer
    x = 831,415.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.