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Finding the Third Proportional to 569,357.25 and 859,917

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Solution

The third proportional to 569,357.25 and 859,917 is: 1,298,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,357.25 : 859,917 = 859,917 : x
  2. Step 2: Convert to fraction form
    569,357.25/859,917 = 859,917/x
  3. Step 3: Cross multiply
    569,357.25x = 859,917 × 859,917
  4. Step 4: Simplify right side
    569,357.25x = 739,457,246,889
  5. Step 5: Solve for x
    x = 739,457,246,889/569,357.25
  6. Step 6: Final answer
    x = 1,298,757.94

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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.