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Finding the Third Proportional to 352,584 and 537,144

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Solution

The third proportional to 352,584 and 537,144 is: 818,311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,584 : 537,144 = 537,144 : x
  2. Step 2: Convert to fraction form
    352,584/537,144 = 537,144/x
  3. Step 3: Cross multiply
    352,584x = 537,144 × 537,144
  4. Step 4: Simplify right side
    352,584x = 288,523,676,736
  5. Step 5: Solve for x
    x = 288,523,676,736/352,584
  6. Step 6: Final answer
    x = 818,311.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.