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Finding the Third Proportional to 632,944.50 and 1,386,050.25

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Solution

The third proportional to 632,944.50 and 1,386,050.25 is: 3,035,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,944.50 : 1,386,050.25 = 1,386,050.25 : x
  2. Step 2: Convert to fraction form
    632,944.50/1,386,050.25 = 1,386,050.25/x
  3. Step 3: Cross multiply
    632,944.50x = 1,386,050.25 × 1,386,050.25
  4. Step 4: Simplify right side
    632,944.50x = 1,921,135,295,525.06
  5. Step 5: Solve for x
    x = 1,921,135,295,525.06/632,944.50
  6. Step 6: Final answer
    x = 3,035,234.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.