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Finding the Third Proportional to 362,558 and 783,436

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Solution

The third proportional to 362,558 and 783,436 is: 1,692,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,558 : 783,436 = 783,436 : x
  2. Step 2: Convert to fraction form
    362,558/783,436 = 783,436/x
  3. Step 3: Cross multiply
    362,558x = 783,436 × 783,436
  4. Step 4: Simplify right side
    362,558x = 613,771,966,096
  5. Step 5: Solve for x
    x = 613,771,966,096/362,558
  6. Step 6: Final answer
    x = 1,692,893.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.