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Finding the Third Proportional to 355,668.75 and 533,516.63

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Solution

The third proportional to 355,668.75 and 533,516.63 is: 800,295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,668.75 : 533,516.63 = 533,516.63 : x
  2. Step 2: Convert to fraction form
    355,668.75/533,516.63 = 533,516.63/x
  3. Step 3: Cross multiply
    355,668.75x = 533,516.63 × 533,516.63
  4. Step 4: Simplify right side
    355,668.75x = 284,639,989,151.39
  5. Step 5: Solve for x
    x = 284,639,989,151.39/355,668.75
  6. Step 6: Final answer
    x = 800,295.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.