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Finding the Third Proportional to 246,307 and 533,096

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Solution

The third proportional to 246,307 and 533,096 is: 1,153,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,307 : 533,096 = 533,096 : x
  2. Step 2: Convert to fraction form
    246,307/533,096 = 533,096/x
  3. Step 3: Cross multiply
    246,307x = 533,096 × 533,096
  4. Step 4: Simplify right side
    246,307x = 284,191,345,216
  5. Step 5: Solve for x
    x = 284,191,345,216/246,307
  6. Step 6: Final answer
    x = 1,153,809.45

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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.