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Finding the Third Proportional to 304,425.84 and 657,115.03

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Solution

The third proportional to 304,425.84 and 657,115.03 is: 1,418,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,425.84 : 657,115.03 = 657,115.03 : x
  2. Step 2: Convert to fraction form
    304,425.84/657,115.03 = 657,115.03/x
  3. Step 3: Cross multiply
    304,425.84x = 657,115.03 × 657,115.03
  4. Step 4: Simplify right side
    304,425.84x = 431,800,164,294.69
  5. Step 5: Solve for x
    x = 431,800,164,294.69/304,425.84
  6. Step 6: Final answer
    x = 1,418,408.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.