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Finding the Third Proportional to 303,967.50 and 456,113.25

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Solution

The third proportional to 303,967.50 and 456,113.25 is: 684,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,967.50 : 456,113.25 = 456,113.25 : x
  2. Step 2: Convert to fraction form
    303,967.50/456,113.25 = 456,113.25/x
  3. Step 3: Cross multiply
    303,967.50x = 456,113.25 × 456,113.25
  4. Step 4: Simplify right side
    303,967.50x = 208,039,296,825.56
  5. Step 5: Solve for x
    x = 208,039,296,825.56/303,967.50
  6. Step 6: Final answer
    x = 684,412.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.