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Finding the Third Proportional to 351,418,600 and 514,191,896

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Solution

The third proportional to 351,418,600 and 514,191,896 is: 752,360,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,418,600 : 514,191,896 = 514,191,896 : x
  2. Step 2: Convert to fraction form
    351,418,600/514,191,896 = 514,191,896/x
  3. Step 3: Cross multiply
    351,418,600x = 514,191,896 × 514,191,896
  4. Step 4: Simplify right side
    351,418,600x = 264,393,305,912,074,816
  5. Step 5: Solve for x
    x = 264,393,305,912,074,816/351,418,600
  6. Step 6: Final answer
    x = 752,360,022.81

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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.