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Finding the Third Proportional to 254,145 and 534,498

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Solution

The third proportional to 254,145 and 534,498 is: 1,124,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,145 : 534,498 = 534,498 : x
  2. Step 2: Convert to fraction form
    254,145/534,498 = 534,498/x
  3. Step 3: Cross multiply
    254,145x = 534,498 × 534,498
  4. Step 4: Simplify right side
    254,145x = 285,688,112,004
  5. Step 5: Solve for x
    x = 285,688,112,004/254,145
  6. Step 6: Final answer
    x = 1,124,114.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.