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Finding the Third Proportional to 303,741.75 and 482,740.13

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Solution

The third proportional to 303,741.75 and 482,740.13 is: 767,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,741.75 : 482,740.13 = 482,740.13 : x
  2. Step 2: Convert to fraction form
    303,741.75/482,740.13 = 482,740.13/x
  3. Step 3: Cross multiply
    303,741.75x = 482,740.13 × 482,740.13
  4. Step 4: Simplify right side
    303,741.75x = 233,038,028,285.02
  5. Step 5: Solve for x
    x = 233,038,028,285.02/303,741.75
  6. Step 6: Final answer
    x = 767,224.22

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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.