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Finding the Third Proportional to 252,444 and 540,350

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Solution

The third proportional to 252,444 and 540,350 is: 1,156,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,444 : 540,350 = 540,350 : x
  2. Step 2: Convert to fraction form
    252,444/540,350 = 540,350/x
  3. Step 3: Cross multiply
    252,444x = 540,350 × 540,350
  4. Step 4: Simplify right side
    252,444x = 291,978,122,500
  5. Step 5: Solve for x
    x = 291,978,122,500/252,444
  6. Step 6: Final answer
    x = 1,156,605.51

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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.