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Finding the Third Proportional to 251,302 and 547,786

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Solution

The third proportional to 251,302 and 547,786 is: 1,194,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,302 : 547,786 = 547,786 : x
  2. Step 2: Convert to fraction form
    251,302/547,786 = 547,786/x
  3. Step 3: Cross multiply
    251,302x = 547,786 × 547,786
  4. Step 4: Simplify right side
    251,302x = 300,069,501,796
  5. Step 5: Solve for x
    x = 300,069,501,796/251,302
  6. Step 6: Final answer
    x = 1,194,059.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.