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Finding the Third Proportional to 305,323.50 and 668,967

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Solution

The third proportional to 305,323.50 and 668,967 is: 1,465,713.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,323.50 : 668,967 = 668,967 : x
  2. Step 2: Convert to fraction form
    305,323.50/668,967 = 668,967/x
  3. Step 3: Cross multiply
    305,323.50x = 668,967 × 668,967
  4. Step 4: Simplify right side
    305,323.50x = 447,516,847,089
  5. Step 5: Solve for x
    x = 447,516,847,089/305,323.50
  6. Step 6: Final answer
    x = 1,465,713.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.