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Finding the Third Proportional to 273,241.69 and 432,006.75

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Solution

The third proportional to 273,241.69 and 432,006.75 is: 683,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,241.69 : 432,006.75 = 432,006.75 : x
  2. Step 2: Convert to fraction form
    273,241.69/432,006.75 = 432,006.75/x
  3. Step 3: Cross multiply
    273,241.69x = 432,006.75 × 432,006.75
  4. Step 4: Simplify right side
    273,241.69x = 186,629,832,045.56
  5. Step 5: Solve for x
    x = 186,629,832,045.56/273,241.69
  6. Step 6: Final answer
    x = 683,021.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.