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Finding the Third Proportional to 538,459.50 and 1,174,713

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Solution

The third proportional to 538,459.50 and 1,174,713 is: 2,562,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,459.50 : 1,174,713 = 1,174,713 : x
  2. Step 2: Convert to fraction form
    538,459.50/1,174,713 = 1,174,713/x
  3. Step 3: Cross multiply
    538,459.50x = 1,174,713 × 1,174,713
  4. Step 4: Simplify right side
    538,459.50x = 1,379,950,632,369
  5. Step 5: Solve for x
    x = 1,379,950,632,369/538,459.50
  6. Step 6: Final answer
    x = 2,562,775.16

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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.