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Finding the Third Proportional to 268,176 and 529,584

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Solution

The third proportional to 268,176 and 529,584 is: 1,045,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,176 : 529,584 = 529,584 : x
  2. Step 2: Convert to fraction form
    268,176/529,584 = 529,584/x
  3. Step 3: Cross multiply
    268,176x = 529,584 × 529,584
  4. Step 4: Simplify right side
    268,176x = 280,459,213,056
  5. Step 5: Solve for x
    x = 280,459,213,056/268,176
  6. Step 6: Final answer
    x = 1,045,802.81

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.