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Finding the Third Proportional to 569,769.75 and 869,125.50

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Solution

The third proportional to 569,769.75 and 869,125.50 is: 1,325,762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,769.75 : 869,125.50 = 869,125.50 : x
  2. Step 2: Convert to fraction form
    569,769.75/869,125.50 = 869,125.50/x
  3. Step 3: Cross multiply
    569,769.75x = 869,125.50 × 869,125.50
  4. Step 4: Simplify right side
    569,769.75x = 755,379,134,750.25
  5. Step 5: Solve for x
    x = 755,379,134,750.25/569,769.75
  6. Step 6: Final answer
    x = 1,325,762.09

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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.