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Finding the Third Proportional to 251,328 and 546,888

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Solution

The third proportional to 251,328 and 546,888 is: 1,190,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,328 : 546,888 = 546,888 : x
  2. Step 2: Convert to fraction form
    251,328/546,888 = 546,888/x
  3. Step 3: Cross multiply
    251,328x = 546,888 × 546,888
  4. Step 4: Simplify right side
    251,328x = 299,086,484,544
  5. Step 5: Solve for x
    x = 299,086,484,544/251,328
  6. Step 6: Final answer
    x = 1,190,024.53

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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.