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Finding the Third Proportional to 362,576 and 785,414

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Solution

The third proportional to 362,576 and 785,414 is: 1,701,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,576 : 785,414 = 785,414 : x
  2. Step 2: Convert to fraction form
    362,576/785,414 = 785,414/x
  3. Step 3: Cross multiply
    362,576x = 785,414 × 785,414
  4. Step 4: Simplify right side
    362,576x = 616,875,151,396
  5. Step 5: Solve for x
    x = 616,875,151,396/362,576
  6. Step 6: Final answer
    x = 1,701,367.86

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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.