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Finding the Third Proportional to 492,957 and 793,648.50

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Solution

The third proportional to 492,957 and 793,648.50 is: 1,277,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,957 : 793,648.50 = 793,648.50 : x
  2. Step 2: Convert to fraction form
    492,957/793,648.50 = 793,648.50/x
  3. Step 3: Cross multiply
    492,957x = 793,648.50 × 793,648.50
  4. Step 4: Simplify right side
    492,957x = 629,877,941,552.25
  5. Step 5: Solve for x
    x = 629,877,941,552.25/492,957
  6. Step 6: Final answer
    x = 1,277,754.33

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