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Finding the Third Proportional to 569,768.63 and 869,122.13

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Solution

The third proportional to 569,768.63 and 869,122.13 is: 1,325,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,768.63 : 869,122.13 = 869,122.13 : x
  2. Step 2: Convert to fraction form
    569,768.63/869,122.13 = 869,122.13/x
  3. Step 3: Cross multiply
    569,768.63x = 869,122.13 × 869,122.13
  4. Step 4: Simplify right side
    569,768.63x = 755,373,268,164.52
  5. Step 5: Solve for x
    x = 755,373,268,164.52/569,768.63
  6. Step 6: Final answer
    x = 1,325,754.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.