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Finding the Third Proportional to 280,888 and 601,140

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Solution

The third proportional to 280,888 and 601,140 is: 1,286,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,888 : 601,140 = 601,140 : x
  2. Step 2: Convert to fraction form
    280,888/601,140 = 601,140/x
  3. Step 3: Cross multiply
    280,888x = 601,140 × 601,140
  4. Step 4: Simplify right side
    280,888x = 361,369,299,600
  5. Step 5: Solve for x
    x = 361,369,299,600/280,888
  6. Step 6: Final answer
    x = 1,286,524.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.