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Finding the Third Proportional to 575,317.69 and 862,976.53

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Solution

The third proportional to 575,317.69 and 862,976.53 is: 1,294,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,317.69 : 862,976.53 = 862,976.53 : x
  2. Step 2: Convert to fraction form
    575,317.69/862,976.53 = 862,976.53/x
  3. Step 3: Cross multiply
    575,317.69x = 862,976.53 × 862,976.53
  4. Step 4: Simplify right side
    575,317.69x = 744,728,493,488.28
  5. Step 5: Solve for x
    x = 744,728,493,488.28/575,317.69
  6. Step 6: Final answer
    x = 1,294,464.80

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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.