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Finding the Third Proportional to 535,108 and 713,718

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Solution

The third proportional to 535,108 and 713,718 is: 951,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,108 : 713,718 = 713,718 : x
  2. Step 2: Convert to fraction form
    535,108/713,718 = 713,718/x
  3. Step 3: Cross multiply
    535,108x = 713,718 × 713,718
  4. Step 4: Simplify right side
    535,108x = 509,393,383,524
  5. Step 5: Solve for x
    x = 509,393,383,524/535,108
  6. Step 6: Final answer
    x = 951,945.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.