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Finding the Third Proportional to 251,970 and 544,602

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Solution

The third proportional to 251,970 and 544,602 is: 1,177,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,970 : 544,602 = 544,602 : x
  2. Step 2: Convert to fraction form
    251,970/544,602 = 544,602/x
  3. Step 3: Cross multiply
    251,970x = 544,602 × 544,602
  4. Step 4: Simplify right side
    251,970x = 296,591,338,404
  5. Step 5: Solve for x
    x = 296,591,338,404/251,970
  6. Step 6: Final answer
    x = 1,177,089.89

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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.