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Finding the Third Proportional to 184,963 and 403,440

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Solution

The third proportional to 184,963 and 403,440 is: 879,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,963 : 403,440 = 403,440 : x
  2. Step 2: Convert to fraction form
    184,963/403,440 = 403,440/x
  3. Step 3: Cross multiply
    184,963x = 403,440 × 403,440
  4. Step 4: Simplify right side
    184,963x = 162,763,833,600
  5. Step 5: Solve for x
    x = 162,763,833,600/184,963
  6. Step 6: Final answer
    x = 879,980.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.