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Finding the Third Proportional to 254,008 and 543,008

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Solution

The third proportional to 254,008 and 543,008 is: 1,160,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,008 : 543,008 = 543,008 : x
  2. Step 2: Convert to fraction form
    254,008/543,008 = 543,008/x
  3. Step 3: Cross multiply
    254,008x = 543,008 × 543,008
  4. Step 4: Simplify right side
    254,008x = 294,857,688,064
  5. Step 5: Solve for x
    x = 294,857,688,064/254,008
  6. Step 6: Final answer
    x = 1,160,820.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.