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Finding the Third Proportional to 253,596 and 547,803

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Solution

The third proportional to 253,596 and 547,803 is: 1,183,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,596 : 547,803 = 547,803 : x
  2. Step 2: Convert to fraction form
    253,596/547,803 = 547,803/x
  3. Step 3: Cross multiply
    253,596x = 547,803 × 547,803
  4. Step 4: Simplify right side
    253,596x = 300,088,126,809
  5. Step 5: Solve for x
    x = 300,088,126,809/253,596
  6. Step 6: Final answer
    x = 1,183,331.47

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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.