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Finding the Third Proportional to 253,914 and 540,726

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Solution

The third proportional to 253,914 and 540,726 is: 1,151,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,914 : 540,726 = 540,726 : x
  2. Step 2: Convert to fraction form
    253,914/540,726 = 540,726/x
  3. Step 3: Cross multiply
    253,914x = 540,726 × 540,726
  4. Step 4: Simplify right side
    253,914x = 292,384,607,076
  5. Step 5: Solve for x
    x = 292,384,607,076/253,914
  6. Step 6: Final answer
    x = 1,151,510.38

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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.