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Finding the Third Proportional to 352,624.75 and 537,199.25

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Solution

The third proportional to 352,624.75 and 537,199.25 is: 818,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,624.75 : 537,199.25 = 537,199.25 : x
  2. Step 2: Convert to fraction form
    352,624.75/537,199.25 = 537,199.25/x
  3. Step 3: Cross multiply
    352,624.75x = 537,199.25 × 537,199.25
  4. Step 4: Simplify right side
    352,624.75x = 288,583,034,200.56
  5. Step 5: Solve for x
    x = 288,583,034,200.56/352,624.75
  6. Step 6: Final answer
    x = 818,385.65

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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.