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Finding the Third Proportional to 366,831 and 546,862

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Solution

The third proportional to 366,831 and 546,862 is: 815,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,831 : 546,862 = 546,862 : x
  2. Step 2: Convert to fraction form
    366,831/546,862 = 546,862/x
  3. Step 3: Cross multiply
    366,831x = 546,862 × 546,862
  4. Step 4: Simplify right side
    366,831x = 299,058,047,044
  5. Step 5: Solve for x
    x = 299,058,047,044/366,831
  6. Step 6: Final answer
    x = 815,247.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.