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Finding the Third Proportional to 212,020.88 and 460,851.75

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Solution

The third proportional to 212,020.88 and 460,851.75 is: 1,001,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,020.88 : 460,851.75 = 460,851.75 : x
  2. Step 2: Convert to fraction form
    212,020.88/460,851.75 = 460,851.75/x
  3. Step 3: Cross multiply
    212,020.88x = 460,851.75 × 460,851.75
  4. Step 4: Simplify right side
    212,020.88x = 212,384,335,478.06
  5. Step 5: Solve for x
    x = 212,384,335,478.06/212,020.88
  6. Step 6: Final answer
    x = 1,001,714.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.