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Finding the Third Proportional to 367,786.50 and 569,722.50

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Solution

The third proportional to 367,786.50 and 569,722.50 is: 882,533.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,786.50 : 569,722.50 = 569,722.50 : x
  2. Step 2: Convert to fraction form
    367,786.50/569,722.50 = 569,722.50/x
  3. Step 3: Cross multiply
    367,786.50x = 569,722.50 × 569,722.50
  4. Step 4: Simplify right side
    367,786.50x = 324,583,727,006.25
  5. Step 5: Solve for x
    x = 324,583,727,006.25/367,786.50
  6. Step 6: Final answer
    x = 882,533.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.