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Finding the Third Proportional to 255,537 and 543,852

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Solution

The third proportional to 255,537 and 543,852 is: 1,157,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,537 : 543,852 = 543,852 : x
  2. Step 2: Convert to fraction form
    255,537/543,852 = 543,852/x
  3. Step 3: Cross multiply
    255,537x = 543,852 × 543,852
  4. Step 4: Simplify right side
    255,537x = 295,774,997,904
  5. Step 5: Solve for x
    x = 295,774,997,904/255,537
  6. Step 6: Final answer
    x = 1,157,464.47

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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.