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Finding the Third Proportional to 351,566 and 728,054

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Solution

The third proportional to 351,566 and 728,054 is: 1,507,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,566 : 728,054 = 728,054 : x
  2. Step 2: Convert to fraction form
    351,566/728,054 = 728,054/x
  3. Step 3: Cross multiply
    351,566x = 728,054 × 728,054
  4. Step 4: Simplify right side
    351,566x = 530,062,626,916
  5. Step 5: Solve for x
    x = 530,062,626,916/351,566
  6. Step 6: Final answer
    x = 1,507,718.68

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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.