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Finding the Third Proportional to 545,769 and 858,753

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Solution

The third proportional to 545,769 and 858,753 is: 1,351,225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,769 : 858,753 = 858,753 : x
  2. Step 2: Convert to fraction form
    545,769/858,753 = 858,753/x
  3. Step 3: Cross multiply
    545,769x = 858,753 × 858,753
  4. Step 4: Simplify right side
    545,769x = 737,456,715,009
  5. Step 5: Solve for x
    x = 737,456,715,009/545,769
  6. Step 6: Final answer
    x = 1,351,225.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.