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Finding the Third Proportional to 560,645.25 and 840,795

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Solution

The third proportional to 560,645.25 and 840,795 is: 1,260,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,645.25 : 840,795 = 840,795 : x
  2. Step 2: Convert to fraction form
    560,645.25/840,795 = 840,795/x
  3. Step 3: Cross multiply
    560,645.25x = 840,795 × 840,795
  4. Step 4: Simplify right side
    560,645.25x = 706,936,232,025
  5. Step 5: Solve for x
    x = 706,936,232,025/560,645.25
  6. Step 6: Final answer
    x = 1,260,933.24

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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.