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Finding the Third Proportional to 569,189.53 and 865,439.44

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Solution

The third proportional to 569,189.53 and 865,439.44 is: 1,315,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,189.53 : 865,439.44 = 865,439.44 : x
  2. Step 2: Convert to fraction form
    569,189.53/865,439.44 = 865,439.44/x
  3. Step 3: Cross multiply
    569,189.53x = 865,439.44 × 865,439.44
  4. Step 4: Simplify right side
    569,189.53x = 748,985,419,980.32
  5. Step 5: Solve for x
    x = 748,985,419,980.32/569,189.53
  6. Step 6: Final answer
    x = 1,315,880.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.