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Finding the Third Proportional to 255,528 and 543,834

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Solution

The third proportional to 255,528 and 543,834 is: 1,157,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,528 : 543,834 = 543,834 : x
  2. Step 2: Convert to fraction form
    255,528/543,834 = 543,834/x
  3. Step 3: Cross multiply
    255,528x = 543,834 × 543,834
  4. Step 4: Simplify right side
    255,528x = 295,755,419,556
  5. Step 5: Solve for x
    x = 295,755,419,556/255,528
  6. Step 6: Final answer
    x = 1,157,428.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.