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Finding the Third Proportional to 252,617 and 540,247

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Solution

The third proportional to 252,617 and 540,247 is: 1,155,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,617 : 540,247 = 540,247 : x
  2. Step 2: Convert to fraction form
    252,617/540,247 = 540,247/x
  3. Step 3: Cross multiply
    252,617x = 540,247 × 540,247
  4. Step 4: Simplify right side
    252,617x = 291,866,821,009
  5. Step 5: Solve for x
    x = 291,866,821,009/252,617
  6. Step 6: Final answer
    x = 1,155,372.84

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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.