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Finding the Third Proportional to 290,090 and 443,721

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Solution

The third proportional to 290,090 and 443,721 is: 678,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,090 : 443,721 = 443,721 : x
  2. Step 2: Convert to fraction form
    290,090/443,721 = 443,721/x
  3. Step 3: Cross multiply
    290,090x = 443,721 × 443,721
  4. Step 4: Simplify right side
    290,090x = 196,888,325,841
  5. Step 5: Solve for x
    x = 196,888,325,841/290,090
  6. Step 6: Final answer
    x = 678,714.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.