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Finding the Third Proportional to 362,710.50 and 754,857

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Solution

The third proportional to 362,710.50 and 754,857 is: 1,570,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,710.50 : 754,857 = 754,857 : x
  2. Step 2: Convert to fraction form
    362,710.50/754,857 = 754,857/x
  3. Step 3: Cross multiply
    362,710.50x = 754,857 × 754,857
  4. Step 4: Simplify right side
    362,710.50x = 569,809,090,449
  5. Step 5: Solve for x
    x = 569,809,090,449/362,710.50
  6. Step 6: Final answer
    x = 1,570,974.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.