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Finding the Third Proportional to 546,284 and 827,094

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Solution

The third proportional to 546,284 and 827,094 is: 1,252,250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,284 : 827,094 = 827,094 : x
  2. Step 2: Convert to fraction form
    546,284/827,094 = 827,094/x
  3. Step 3: Cross multiply
    546,284x = 827,094 × 827,094
  4. Step 4: Simplify right side
    546,284x = 684,084,484,836
  5. Step 5: Solve for x
    x = 684,084,484,836/546,284
  6. Step 6: Final answer
    x = 1,252,250.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.