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Finding the Third Proportional to 201,796.31 and 416,714.63

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Solution

The third proportional to 201,796.31 and 416,714.63 is: 860,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,796.31 : 416,714.63 = 416,714.63 : x
  2. Step 2: Convert to fraction form
    201,796.31/416,714.63 = 416,714.63/x
  3. Step 3: Cross multiply
    201,796.31x = 416,714.63 × 416,714.63
  4. Step 4: Simplify right side
    201,796.31x = 173,651,078,688.89
  5. Step 5: Solve for x
    x = 173,651,078,688.89/201,796.31
  6. Step 6: Final answer
    x = 860,526.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.