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Finding the Third Proportional to 303,742.50 and 482,741.25

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Solution

The third proportional to 303,742.50 and 482,741.25 is: 767,225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,742.50 : 482,741.25 = 482,741.25 : x
  2. Step 2: Convert to fraction form
    303,742.50/482,741.25 = 482,741.25/x
  3. Step 3: Cross multiply
    303,742.50x = 482,741.25 × 482,741.25
  4. Step 4: Simplify right side
    303,742.50x = 233,039,114,451.56
  5. Step 5: Solve for x
    x = 233,039,114,451.56/303,742.50
  6. Step 6: Final answer
    x = 767,225.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.