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Finding the Third Proportional to 224,907 and 465,729

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Solution

The third proportional to 224,907 and 465,729 is: 964,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,907 : 465,729 = 465,729 : x
  2. Step 2: Convert to fraction form
    224,907/465,729 = 465,729/x
  3. Step 3: Cross multiply
    224,907x = 465,729 × 465,729
  4. Step 4: Simplify right side
    224,907x = 216,903,501,441
  5. Step 5: Solve for x
    x = 216,903,501,441/224,907
  6. Step 6: Final answer
    x = 964,414.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.