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Finding the Third Proportional to 362,608.50 and 785,481

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Solution

The third proportional to 362,608.50 and 785,481 is: 1,701,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,608.50 : 785,481 = 785,481 : x
  2. Step 2: Convert to fraction form
    362,608.50/785,481 = 785,481/x
  3. Step 3: Cross multiply
    362,608.50x = 785,481 × 785,481
  4. Step 4: Simplify right side
    362,608.50x = 616,980,401,361
  5. Step 5: Solve for x
    x = 616,980,401,361/362,608.50
  6. Step 6: Final answer
    x = 1,701,505.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.