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Finding the Third Proportional to 483,784.50 and 676,721.75

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Solution

The third proportional to 483,784.50 and 676,721.75 is: 946,603.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,784.50 : 676,721.75 = 676,721.75 : x
  2. Step 2: Convert to fraction form
    483,784.50/676,721.75 = 676,721.75/x
  3. Step 3: Cross multiply
    483,784.50x = 676,721.75 × 676,721.75
  4. Step 4: Simplify right side
    483,784.50x = 457,952,326,923.06
  5. Step 5: Solve for x
    x = 457,952,326,923.06/483,784.50
  6. Step 6: Final answer
    x = 946,603.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.