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Finding the Third Proportional to 451,731.94 and 602,245.13

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Solution

The third proportional to 451,731.94 and 602,245.13 is: 802,908.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,731.94 : 602,245.13 = 602,245.13 : x
  2. Step 2: Convert to fraction form
    451,731.94/602,245.13 = 602,245.13/x
  3. Step 3: Cross multiply
    451,731.94x = 602,245.13 × 602,245.13
  4. Step 4: Simplify right side
    451,731.94x = 362,699,190,586.27
  5. Step 5: Solve for x
    x = 362,699,190,586.27/451,731.94
  6. Step 6: Final answer
    x = 802,908.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.