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Finding the Third Proportional to 269,550,580 and 394,217,052

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Solution

The third proportional to 269,550,580 and 394,217,052 is: 576,541,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,550,580 : 394,217,052 = 394,217,052 : x
  2. Step 2: Convert to fraction form
    269,550,580/394,217,052 = 394,217,052/x
  3. Step 3: Cross multiply
    269,550,580x = 394,217,052 × 394,217,052
  4. Step 4: Simplify right side
    269,550,580x = 155,407,084,087,570,688
  5. Step 5: Solve for x
    x = 155,407,084,087,570,688/269,550,580
  6. Step 6: Final answer
    x = 576,541,456.85

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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.