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Finding the Third Proportional to 252,648 and 543,528

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Solution

The third proportional to 252,648 and 543,528 is: 1,169,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,648 : 543,528 = 543,528 : x
  2. Step 2: Convert to fraction form
    252,648/543,528 = 543,528/x
  3. Step 3: Cross multiply
    252,648x = 543,528 × 543,528
  4. Step 4: Simplify right side
    252,648x = 295,422,686,784
  5. Step 5: Solve for x
    x = 295,422,686,784/252,648
  6. Step 6: Final answer
    x = 1,169,305.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.