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Finding the Third Proportional to 251,538 and 357,627

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Solution

The third proportional to 251,538 and 357,627 is: 508,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,538 : 357,627 = 357,627 : x
  2. Step 2: Convert to fraction form
    251,538/357,627 = 357,627/x
  3. Step 3: Cross multiply
    251,538x = 357,627 × 357,627
  4. Step 4: Simplify right side
    251,538x = 127,897,071,129
  5. Step 5: Solve for x
    x = 127,897,071,129/251,538
  6. Step 6: Final answer
    x = 508,460.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.