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Finding the Third Proportional to 273,753 and 560,628

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Solution

The third proportional to 273,753 and 560,628 is: 1,148,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,753 : 560,628 = 560,628 : x
  2. Step 2: Convert to fraction form
    273,753/560,628 = 560,628/x
  3. Step 3: Cross multiply
    273,753x = 560,628 × 560,628
  4. Step 4: Simplify right side
    273,753x = 314,303,754,384
  5. Step 5: Solve for x
    x = 314,303,754,384/273,753
  6. Step 6: Final answer
    x = 1,148,128.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.