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Finding the Third Proportional to 404,105,584.50 and 591,041,832.75

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Solution

The third proportional to 404,105,584.50 and 591,041,832.75 is: 864,453,403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,105,584.50 : 591,041,832.75 = 591,041,832.75 : x
  2. Step 2: Convert to fraction form
    404,105,584.50/591,041,832.75 = 591,041,832.75/x
  3. Step 3: Cross multiply
    404,105,584.50x = 591,041,832.75 × 591,041,832.75
  4. Step 4: Simplify right side
    404,105,584.50x = 349,330,448,060,478,976
  5. Step 5: Solve for x
    x = 349,330,448,060,478,976/404,105,584.50
  6. Step 6: Final answer
    x = 864,453,403.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.