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Finding the Third Proportional to 224,424 and 374,004

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Solution

The third proportional to 224,424 and 374,004 is: 623,280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,424 : 374,004 = 374,004 : x
  2. Step 2: Convert to fraction form
    224,424/374,004 = 374,004/x
  3. Step 3: Cross multiply
    224,424x = 374,004 × 374,004
  4. Step 4: Simplify right side
    224,424x = 139,878,992,016
  5. Step 5: Solve for x
    x = 139,878,992,016/224,424
  6. Step 6: Final answer
    x = 623,280.01

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.