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Finding the Third Proportional to 492,651.75 and 748,230

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Solution

The third proportional to 492,651.75 and 748,230 is: 1,136,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,651.75 : 748,230 = 748,230 : x
  2. Step 2: Convert to fraction form
    492,651.75/748,230 = 748,230/x
  3. Step 3: Cross multiply
    492,651.75x = 748,230 × 748,230
  4. Step 4: Simplify right side
    492,651.75x = 559,848,132,900
  5. Step 5: Solve for x
    x = 559,848,132,900/492,651.75
  6. Step 6: Final answer
    x = 1,136,397.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.