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Finding the Third Proportional to 350,292 and 543,510

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Solution

The third proportional to 350,292 and 543,510 is: 843,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,292 : 543,510 = 543,510 : x
  2. Step 2: Convert to fraction form
    350,292/543,510 = 543,510/x
  3. Step 3: Cross multiply
    350,292x = 543,510 × 543,510
  4. Step 4: Simplify right side
    350,292x = 295,403,120,100
  5. Step 5: Solve for x
    x = 295,403,120,100/350,292
  6. Step 6: Final answer
    x = 843,305.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.