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Finding the Third Proportional to 366,700.50 and 567,328.50

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Solution

The third proportional to 366,700.50 and 567,328.50 is: 877,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,700.50 : 567,328.50 = 567,328.50 : x
  2. Step 2: Convert to fraction form
    366,700.50/567,328.50 = 567,328.50/x
  3. Step 3: Cross multiply
    366,700.50x = 567,328.50 × 567,328.50
  4. Step 4: Simplify right side
    366,700.50x = 321,861,626,912.25
  5. Step 5: Solve for x
    x = 321,861,626,912.25/366,700.50
  6. Step 6: Final answer
    x = 877,723.45

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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.