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Finding the Third Proportional to 300,118.41 and 457,799.63

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Solution

The third proportional to 300,118.41 and 457,799.63 is: 698,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,118.41 : 457,799.63 = 457,799.63 : x
  2. Step 2: Convert to fraction form
    300,118.41/457,799.63 = 457,799.63/x
  3. Step 3: Cross multiply
    300,118.41x = 457,799.63 × 457,799.63
  4. Step 4: Simplify right side
    300,118.41x = 209,580,496,650.14
  5. Step 5: Solve for x
    x = 209,580,496,650.14/300,118.41
  6. Step 6: Final answer
    x = 698,326.03

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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.