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Finding the Third Proportional to 127,316 and 277,456

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Solution

The third proportional to 127,316 and 277,456 is: 604,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,316 : 277,456 = 277,456 : x
  2. Step 2: Convert to fraction form
    127,316/277,456 = 277,456/x
  3. Step 3: Cross multiply
    127,316x = 277,456 × 277,456
  4. Step 4: Simplify right side
    127,316x = 76,981,831,936
  5. Step 5: Solve for x
    x = 76,981,831,936/127,316
  6. Step 6: Final answer
    x = 604,651.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.