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Finding the Third Proportional to 291,538 and 607,940

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Solution

The third proportional to 291,538 and 607,940 is: 1,267,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,538 : 607,940 = 607,940 : x
  2. Step 2: Convert to fraction form
    291,538/607,940 = 607,940/x
  3. Step 3: Cross multiply
    291,538x = 607,940 × 607,940
  4. Step 4: Simplify right side
    291,538x = 369,591,043,600
  5. Step 5: Solve for x
    x = 369,591,043,600/291,538
  6. Step 6: Final answer
    x = 1,267,728.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.