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Finding the Third Proportional to 281,904 and 437,178

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Solution

The third proportional to 281,904 and 437,178 is: 677,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,904 : 437,178 = 437,178 : x
  2. Step 2: Convert to fraction form
    281,904/437,178 = 437,178/x
  3. Step 3: Cross multiply
    281,904x = 437,178 × 437,178
  4. Step 4: Simplify right side
    281,904x = 191,124,603,684
  5. Step 5: Solve for x
    x = 191,124,603,684/281,904
  6. Step 6: Final answer
    x = 677,977.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.