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Finding the Third Proportional to 538,381.69 and 1,174,563.28

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Solution

The third proportional to 538,381.69 and 1,174,563.28 is: 2,562,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,381.69 : 1,174,563.28 = 1,174,563.28 : x
  2. Step 2: Convert to fraction form
    538,381.69/1,174,563.28 = 1,174,563.28/x
  3. Step 3: Cross multiply
    538,381.69x = 1,174,563.28 × 1,174,563.28
  4. Step 4: Simplify right side
    538,381.69x = 1,379,598,901,660.77
  5. Step 5: Solve for x
    x = 1,379,598,901,660.77/538,381.69
  6. Step 6: Final answer
    x = 2,562,492.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.