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Finding the Third Proportional to 184,632 and 403,432

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Solution

The third proportional to 184,632 and 403,432 is: 881,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,632 : 403,432 = 403,432 : x
  2. Step 2: Convert to fraction form
    184,632/403,432 = 403,432/x
  3. Step 3: Cross multiply
    184,632x = 403,432 × 403,432
  4. Step 4: Simplify right side
    184,632x = 162,757,378,624
  5. Step 5: Solve for x
    x = 162,757,378,624/184,632
  6. Step 6: Final answer
    x = 881,523.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.