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Finding the Third Proportional to 393,700.50 and 610,782.75

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Solution

The third proportional to 393,700.50 and 610,782.75 is: 947,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,700.50 : 610,782.75 = 610,782.75 : x
  2. Step 2: Convert to fraction form
    393,700.50/610,782.75 = 610,782.75/x
  3. Step 3: Cross multiply
    393,700.50x = 610,782.75 × 610,782.75
  4. Step 4: Simplify right side
    393,700.50x = 373,055,567,697.56
  5. Step 5: Solve for x
    x = 373,055,567,697.56/393,700.50
  6. Step 6: Final answer
    x = 947,561.83

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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.