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Finding the Third Proportional to 351,995.63 and 418,425.75

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Solution

The third proportional to 351,995.63 and 418,425.75 is: 497,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,995.63 : 418,425.75 = 418,425.75 : x
  2. Step 2: Convert to fraction form
    351,995.63/418,425.75 = 418,425.75/x
  3. Step 3: Cross multiply
    351,995.63x = 418,425.75 × 418,425.75
  4. Step 4: Simplify right side
    351,995.63x = 175,080,108,263.06
  5. Step 5: Solve for x
    x = 175,080,108,263.06/351,995.63
  6. Step 6: Final answer
    x = 497,392.85

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These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.