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Finding the Third Proportional to 301,092.50 and 432,774.50

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Solution

The third proportional to 301,092.50 and 432,774.50 is: 622,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,092.50 : 432,774.50 = 432,774.50 : x
  2. Step 2: Convert to fraction form
    301,092.50/432,774.50 = 432,774.50/x
  3. Step 3: Cross multiply
    301,092.50x = 432,774.50 × 432,774.50
  4. Step 4: Simplify right side
    301,092.50x = 187,293,767,850.25
  5. Step 5: Solve for x
    x = 187,293,767,850.25/301,092.50
  6. Step 6: Final answer
    x = 622,047.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.