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Finding the Third Proportional to 184,221 and 429,516

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Solution

The third proportional to 184,221 and 429,516 is: 1,001,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,221 : 429,516 = 429,516 : x
  2. Step 2: Convert to fraction form
    184,221/429,516 = 429,516/x
  3. Step 3: Cross multiply
    184,221x = 429,516 × 429,516
  4. Step 4: Simplify right side
    184,221x = 184,483,994,256
  5. Step 5: Solve for x
    x = 184,483,994,256/184,221
  6. Step 6: Final answer
    x = 1,001,427.60

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.