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Finding the Third Proportional to 254,850 and 540,084

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Solution

The third proportional to 254,850 and 540,084 is: 1,144,558.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,850 : 540,084 = 540,084 : x
  2. Step 2: Convert to fraction form
    254,850/540,084 = 540,084/x
  3. Step 3: Cross multiply
    254,850x = 540,084 × 540,084
  4. Step 4: Simplify right side
    254,850x = 291,690,727,056
  5. Step 5: Solve for x
    x = 291,690,727,056/254,850
  6. Step 6: Final answer
    x = 1,144,558.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.