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Finding the Third Proportional to 443,449.13 and 918,397.13

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Solution

The third proportional to 443,449.13 and 918,397.13 is: 1,902,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,449.13 : 918,397.13 = 918,397.13 : x
  2. Step 2: Convert to fraction form
    443,449.13/918,397.13 = 918,397.13/x
  3. Step 3: Cross multiply
    443,449.13x = 918,397.13 × 918,397.13
  4. Step 4: Simplify right side
    443,449.13x = 843,453,279,208.27
  5. Step 5: Solve for x
    x = 843,453,279,208.27/443,449.13
  6. Step 6: Final answer
    x = 1,902,029.41

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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.