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Finding the Third Proportional to 307,723.50 and 639,909

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Solution

The third proportional to 307,723.50 and 639,909 is: 1,330,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,723.50 : 639,909 = 639,909 : x
  2. Step 2: Convert to fraction form
    307,723.50/639,909 = 639,909/x
  3. Step 3: Cross multiply
    307,723.50x = 639,909 × 639,909
  4. Step 4: Simplify right side
    307,723.50x = 409,483,528,281
  5. Step 5: Solve for x
    x = 409,483,528,281/307,723.50
  6. Step 6: Final answer
    x = 1,330,686.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.