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Finding the Third Proportional to 246,330 and 533,145

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Solution

The third proportional to 246,330 and 533,145 is: 1,153,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,330 : 533,145 = 533,145 : x
  2. Step 2: Convert to fraction form
    246,330/533,145 = 533,145/x
  3. Step 3: Cross multiply
    246,330x = 533,145 × 533,145
  4. Step 4: Simplify right side
    246,330x = 284,243,591,025
  5. Step 5: Solve for x
    x = 284,243,591,025/246,330
  6. Step 6: Final answer
    x = 1,153,913.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.