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Finding the Third Proportional to 362,264 and 794,512

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Solution

The third proportional to 362,264 and 794,512 is: 1,742,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,264 : 794,512 = 794,512 : x
  2. Step 2: Convert to fraction form
    362,264/794,512 = 794,512/x
  3. Step 3: Cross multiply
    362,264x = 794,512 × 794,512
  4. Step 4: Simplify right side
    362,264x = 631,249,318,144
  5. Step 5: Solve for x
    x = 631,249,318,144/362,264
  6. Step 6: Final answer
    x = 1,742,511.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.