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Finding the Third Proportional to 394,136,164 and 554,326,144

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Solution

The third proportional to 394,136,164 and 554,326,144 is: 779,622,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,136,164 : 554,326,144 = 554,326,144 : x
  2. Step 2: Convert to fraction form
    394,136,164/554,326,144 = 554,326,144/x
  3. Step 3: Cross multiply
    394,136,164x = 554,326,144 × 554,326,144
  4. Step 4: Simplify right side
    394,136,164x = 307,277,473,921,908,736
  5. Step 5: Solve for x
    x = 307,277,473,921,908,736/394,136,164
  6. Step 6: Final answer
    x = 779,622,632.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.