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Finding the Third Proportional to 252,864 and 540,288

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Solution

The third proportional to 252,864 and 540,288 is: 1,154,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,864 : 540,288 = 540,288 : x
  2. Step 2: Convert to fraction form
    252,864/540,288 = 540,288/x
  3. Step 3: Cross multiply
    252,864x = 540,288 × 540,288
  4. Step 4: Simplify right side
    252,864x = 291,911,122,944
  5. Step 5: Solve for x
    x = 291,911,122,944/252,864
  6. Step 6: Final answer
    x = 1,154,419.46

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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.