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Finding the Third Proportional to 351,570 and 728,062

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Solution

The third proportional to 351,570 and 728,062 is: 1,507,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,570 : 728,062 = 728,062 : x
  2. Step 2: Convert to fraction form
    351,570/728,062 = 728,062/x
  3. Step 3: Cross multiply
    351,570x = 728,062 × 728,062
  4. Step 4: Simplify right side
    351,570x = 530,074,275,844
  5. Step 5: Solve for x
    x = 530,074,275,844/351,570
  6. Step 6: Final answer
    x = 1,507,734.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.