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Finding the Third Proportional to 490,104.75 and 749,575.13

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Solution

The third proportional to 490,104.75 and 749,575.13 is: 1,146,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,104.75 : 749,575.13 = 749,575.13 : x
  2. Step 2: Convert to fraction form
    490,104.75/749,575.13 = 749,575.13/x
  3. Step 3: Cross multiply
    490,104.75x = 749,575.13 × 749,575.13
  4. Step 4: Simplify right side
    490,104.75x = 561,862,868,018.77
  5. Step 5: Solve for x
    x = 561,862,868,018.77/490,104.75
  6. Step 6: Final answer
    x = 1,146,413.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.