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Finding the Third Proportional to 355,665.94 and 533,505.94

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Solution

The third proportional to 355,665.94 and 533,505.94 is: 800,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,665.94 : 533,505.94 = 533,505.94 : x
  2. Step 2: Convert to fraction form
    355,665.94/533,505.94 = 533,505.94/x
  3. Step 3: Cross multiply
    355,665.94x = 533,505.94 × 533,505.94
  4. Step 4: Simplify right side
    355,665.94x = 284,628,585,347.75
  5. Step 5: Solve for x
    x = 284,628,585,347.75/355,665.94
  6. Step 6: Final answer
    x = 800,269.45

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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.