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Finding the Third Proportional to 334,588.22 and 476,971.03

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Solution

The third proportional to 334,588.22 and 476,971.03 is: 679,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,588.22 : 476,971.03 = 476,971.03 : x
  2. Step 2: Convert to fraction form
    334,588.22/476,971.03 = 476,971.03/x
  3. Step 3: Cross multiply
    334,588.22x = 476,971.03 × 476,971.03
  4. Step 4: Simplify right side
    334,588.22x = 227,501,364,651.69
  5. Step 5: Solve for x
    x = 227,501,364,651.69/334,588.22
  6. Step 6: Final answer
    x = 679,944.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.