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Finding the Third Proportional to 245,538 and 534,843

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Solution

The third proportional to 245,538 and 534,843 is: 1,165,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,538 : 534,843 = 534,843 : x
  2. Step 2: Convert to fraction form
    245,538/534,843 = 534,843/x
  3. Step 3: Cross multiply
    245,538x = 534,843 × 534,843
  4. Step 4: Simplify right side
    245,538x = 286,057,034,649
  5. Step 5: Solve for x
    x = 286,057,034,649/245,538
  6. Step 6: Final answer
    x = 1,165,021.44

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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.