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Finding the Third Proportional to 275,496,440 and 599,418,360

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Solution

The third proportional to 275,496,440 and 599,418,360 is: 1,304,199,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,496,440 : 599,418,360 = 599,418,360 : x
  2. Step 2: Convert to fraction form
    275,496,440/599,418,360 = 599,418,360/x
  3. Step 3: Cross multiply
    275,496,440x = 599,418,360 × 599,418,360
  4. Step 4: Simplify right side
    275,496,440x = 359,302,370,305,089,600
  5. Step 5: Solve for x
    x = 359,302,370,305,089,600/275,496,440
  6. Step 6: Final answer
    x = 1,304,199,685.14

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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.