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Finding the Third Proportional to 224,402 and 483,796

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Solution

The third proportional to 224,402 and 483,796 is: 1,043,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,402 : 483,796 = 483,796 : x
  2. Step 2: Convert to fraction form
    224,402/483,796 = 483,796/x
  3. Step 3: Cross multiply
    224,402x = 483,796 × 483,796
  4. Step 4: Simplify right side
    224,402x = 234,058,569,616
  5. Step 5: Solve for x
    x = 234,058,569,616/224,402
  6. Step 6: Final answer
    x = 1,043,032.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.