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Finding the Third Proportional to 364,954.50 and 581,157

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Solution

The third proportional to 364,954.50 and 581,157 is: 925,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,954.50 : 581,157 = 581,157 : x
  2. Step 2: Convert to fraction form
    364,954.50/581,157 = 581,157/x
  3. Step 3: Cross multiply
    364,954.50x = 581,157 × 581,157
  4. Step 4: Simplify right side
    364,954.50x = 337,743,458,649
  5. Step 5: Solve for x
    x = 337,743,458,649/364,954.50
  6. Step 6: Final answer
    x = 925,439.91

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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.