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Finding the Third Proportional to 224,154 and 483,729

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Solution

The third proportional to 224,154 and 483,729 is: 1,043,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,154 : 483,729 = 483,729 : x
  2. Step 2: Convert to fraction form
    224,154/483,729 = 483,729/x
  3. Step 3: Cross multiply
    224,154x = 483,729 × 483,729
  4. Step 4: Simplify right side
    224,154x = 233,993,745,441
  5. Step 5: Solve for x
    x = 233,993,745,441/224,154
  6. Step 6: Final answer
    x = 1,043,897.26

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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.