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Finding the Third Proportional to 565,242.75 and 767,558.25

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Solution

The third proportional to 565,242.75 and 767,558.25 is: 1,042,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,242.75 : 767,558.25 = 767,558.25 : x
  2. Step 2: Convert to fraction form
    565,242.75/767,558.25 = 767,558.25/x
  3. Step 3: Cross multiply
    565,242.75x = 767,558.25 × 767,558.25
  4. Step 4: Simplify right side
    565,242.75x = 589,145,667,143.06
  5. Step 5: Solve for x
    x = 589,145,667,143.06/565,242.75
  6. Step 6: Final answer
    x = 1,042,287.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.