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Finding the Third Proportional to 364,945.50 and 581,141.25

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Solution

The third proportional to 364,945.50 and 581,141.25 is: 925,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,945.50 : 581,141.25 = 581,141.25 : x
  2. Step 2: Convert to fraction form
    364,945.50/581,141.25 = 581,141.25/x
  3. Step 3: Cross multiply
    364,945.50x = 581,141.25 × 581,141.25
  4. Step 4: Simplify right side
    364,945.50x = 337,725,152,451.56
  5. Step 5: Solve for x
    x = 337,725,152,451.56/364,945.50
  6. Step 6: Final answer
    x = 925,412.57

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