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Finding the Third Proportional to 349,096.92 and 533,798.86

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Solution

The third proportional to 349,096.92 and 533,798.86 is: 816,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,096.92 : 533,798.86 = 533,798.86 : x
  2. Step 2: Convert to fraction form
    349,096.92/533,798.86 = 533,798.86/x
  3. Step 3: Cross multiply
    349,096.92x = 533,798.86 × 533,798.86
  4. Step 4: Simplify right side
    349,096.92x = 284,941,222,270.05
  5. Step 5: Solve for x
    x = 284,941,222,270.05/349,096.92
  6. Step 6: Final answer
    x = 816,223.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.