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Finding the Third Proportional to 273,981 and 429,904

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Solution

The third proportional to 273,981 and 429,904 is: 674,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,981 : 429,904 = 429,904 : x
  2. Step 2: Convert to fraction form
    273,981/429,904 = 429,904/x
  3. Step 3: Cross multiply
    273,981x = 429,904 × 429,904
  4. Step 4: Simplify right side
    273,981x = 184,817,449,216
  5. Step 5: Solve for x
    x = 184,817,449,216/273,981
  6. Step 6: Final answer
    x = 674,563.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.