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Finding the Third Proportional to 323,730 and 483,648

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Solution

The third proportional to 323,730 and 483,648 is: 722,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,730 : 483,648 = 483,648 : x
  2. Step 2: Convert to fraction form
    323,730/483,648 = 483,648/x
  3. Step 3: Cross multiply
    323,730x = 483,648 × 483,648
  4. Step 4: Simplify right side
    323,730x = 233,915,387,904
  5. Step 5: Solve for x
    x = 233,915,387,904/323,730
  6. Step 6: Final answer
    x = 722,563.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.