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Finding the Third Proportional to 281,907 and 437,184

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Solution

The third proportional to 281,907 and 437,184 is: 677,989.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,907 : 437,184 = 437,184 : x
  2. Step 2: Convert to fraction form
    281,907/437,184 = 437,184/x
  3. Step 3: Cross multiply
    281,907x = 437,184 × 437,184
  4. Step 4: Simplify right side
    281,907x = 191,129,849,856
  5. Step 5: Solve for x
    x = 191,129,849,856/281,907
  6. Step 6: Final answer
    x = 677,989.02

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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.