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Finding the Third Proportional to 368,175 and 794,442

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Solution

The third proportional to 368,175 and 794,442 is: 1,714,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,175 : 794,442 = 794,442 : x
  2. Step 2: Convert to fraction form
    368,175/794,442 = 794,442/x
  3. Step 3: Cross multiply
    368,175x = 794,442 × 794,442
  4. Step 4: Simplify right side
    368,175x = 631,138,091,364
  5. Step 5: Solve for x
    x = 631,138,091,364/368,175
  6. Step 6: Final answer
    x = 1,714,233.97

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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.