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Finding the Third Proportional to 492,912 and 743,023.13

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Solution

The third proportional to 492,912 and 743,023.13 is: 1,120,044.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,912 : 743,023.13 = 743,023.13 : x
  2. Step 2: Convert to fraction form
    492,912/743,023.13 = 743,023.13/x
  3. Step 3: Cross multiply
    492,912x = 743,023.13 × 743,023.13
  4. Step 4: Simplify right side
    492,912x = 552,083,364,284.77
  5. Step 5: Solve for x
    x = 552,083,364,284.77/492,912
  6. Step 6: Final answer
    x = 1,120,044.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.