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Finding the Third Proportional to 467,896.50 and 651,919.50

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Solution

The third proportional to 467,896.50 and 651,919.50 is: 908,318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,896.50 : 651,919.50 = 651,919.50 : x
  2. Step 2: Convert to fraction form
    467,896.50/651,919.50 = 651,919.50/x
  3. Step 3: Cross multiply
    467,896.50x = 651,919.50 × 651,919.50
  4. Step 4: Simplify right side
    467,896.50x = 424,999,034,480.25
  5. Step 5: Solve for x
    x = 424,999,034,480.25/467,896.50
  6. Step 6: Final answer
    x = 908,318.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.