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Finding the Third Proportional to 352,621.69 and 537,194.53

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Solution

The third proportional to 352,621.69 and 537,194.53 is: 818,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,621.69 : 537,194.53 = 537,194.53 : x
  2. Step 2: Convert to fraction form
    352,621.69/537,194.53 = 537,194.53/x
  3. Step 3: Cross multiply
    352,621.69x = 537,194.53 × 537,194.53
  4. Step 4: Simplify right side
    352,621.69x = 288,577,964,404.91
  5. Step 5: Solve for x
    x = 288,577,964,404.91/352,621.69
  6. Step 6: Final answer
    x = 818,378.38

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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.