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Finding the Third Proportional to 492,083 and 738,125

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Solution

The third proportional to 492,083 and 738,125 is: 1,107,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,083 : 738,125 = 738,125 : x
  2. Step 2: Convert to fraction form
    492,083/738,125 = 738,125/x
  3. Step 3: Cross multiply
    492,083x = 738,125 × 738,125
  4. Step 4: Simplify right side
    492,083x = 544,828,515,625
  5. Step 5: Solve for x
    x = 544,828,515,625/492,083
  6. Step 6: Final answer
    x = 1,107,188.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.