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Finding the Third Proportional to 492,912 and 793,584

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Solution

The third proportional to 492,912 and 793,584 is: 1,277,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,912 : 793,584 = 793,584 : x
  2. Step 2: Convert to fraction form
    492,912/793,584 = 793,584/x
  3. Step 3: Cross multiply
    492,912x = 793,584 × 793,584
  4. Step 4: Simplify right side
    492,912x = 629,775,565,056
  5. Step 5: Solve for x
    x = 629,775,565,056/492,912
  6. Step 6: Final answer
    x = 1,277,663.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.