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Finding the Third Proportional to 280,960 and 621,008

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Solution

The third proportional to 280,960 and 621,008 is: 1,372,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,960 : 621,008 = 621,008 : x
  2. Step 2: Convert to fraction form
    280,960/621,008 = 621,008/x
  3. Step 3: Cross multiply
    280,960x = 621,008 × 621,008
  4. Step 4: Simplify right side
    280,960x = 385,650,936,064
  5. Step 5: Solve for x
    x = 385,650,936,064/280,960
  6. Step 6: Final answer
    x = 1,372,618.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.