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Finding the Third Proportional to 305,040.94 and 463,780.69

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Solution

The third proportional to 305,040.94 and 463,780.69 is: 705,126.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,040.94 : 463,780.69 = 463,780.69 : x
  2. Step 2: Convert to fraction form
    305,040.94/463,780.69 = 463,780.69/x
  3. Step 3: Cross multiply
    305,040.94x = 463,780.69 × 463,780.69
  4. Step 4: Simplify right side
    305,040.94x = 215,092,526,097.97
  5. Step 5: Solve for x
    x = 215,092,526,097.97/305,040.94
  6. Step 6: Final answer
    x = 705,126.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.