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Finding the Third Proportional to 251,554 and 542,308

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Solution

The third proportional to 251,554 and 542,308 is: 1,169,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,554 : 542,308 = 542,308 : x
  2. Step 2: Convert to fraction form
    251,554/542,308 = 542,308/x
  3. Step 3: Cross multiply
    251,554x = 542,308 × 542,308
  4. Step 4: Simplify right side
    251,554x = 294,097,966,864
  5. Step 5: Solve for x
    x = 294,097,966,864/251,554
  6. Step 6: Final answer
    x = 1,169,124.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.