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Finding the Third Proportional to 277,738,116 and 604,851,240

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Solution

The third proportional to 277,738,116 and 604,851,240 is: 1,317,230,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,738,116 : 604,851,240 = 604,851,240 : x
  2. Step 2: Convert to fraction form
    277,738,116/604,851,240 = 604,851,240/x
  3. Step 3: Cross multiply
    277,738,116x = 604,851,240 × 604,851,240
  4. Step 4: Simplify right side
    277,738,116x = 365,845,022,529,537,600
  5. Step 5: Solve for x
    x = 365,845,022,529,537,600/277,738,116
  6. Step 6: Final answer
    x = 1,317,230,158.39

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Why These Related Problems?

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