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Finding the Third Proportional to 269,952 and 539,584

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Solution

The third proportional to 269,952 and 539,584 is: 1,078,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,952 : 539,584 = 539,584 : x
  2. Step 2: Convert to fraction form
    269,952/539,584 = 539,584/x
  3. Step 3: Cross multiply
    269,952x = 539,584 × 539,584
  4. Step 4: Simplify right side
    269,952x = 291,150,893,056
  5. Step 5: Solve for x
    x = 291,150,893,056/269,952
  6. Step 6: Final answer
    x = 1,078,528.38

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.