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Finding the Third Proportional to 253,272 and 540,442

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Solution

The third proportional to 253,272 and 540,442 is: 1,153,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,272 : 540,442 = 540,442 : x
  2. Step 2: Convert to fraction form
    253,272/540,442 = 540,442/x
  3. Step 3: Cross multiply
    253,272x = 540,442 × 540,442
  4. Step 4: Simplify right side
    253,272x = 292,077,555,364
  5. Step 5: Solve for x
    x = 292,077,555,364/253,272
  6. Step 6: Final answer
    x = 1,153,216.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.