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Finding the Third Proportional to 254,520 and 536,904

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Solution

The third proportional to 254,520 and 536,904 is: 1,132,586.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,520 : 536,904 = 536,904 : x
  2. Step 2: Convert to fraction form
    254,520/536,904 = 536,904/x
  3. Step 3: Cross multiply
    254,520x = 536,904 × 536,904
  4. Step 4: Simplify right side
    254,520x = 288,265,905,216
  5. Step 5: Solve for x
    x = 288,265,905,216/254,520
  6. Step 6: Final answer
    x = 1,132,586.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.