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Finding the Third Proportional to 364,912.50 and 581,097

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Solution

The third proportional to 364,912.50 and 581,097 is: 925,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,912.50 : 581,097 = 581,097 : x
  2. Step 2: Convert to fraction form
    364,912.50/581,097 = 581,097/x
  3. Step 3: Cross multiply
    364,912.50x = 581,097 × 581,097
  4. Step 4: Simplify right side
    364,912.50x = 337,673,723,409
  5. Step 5: Solve for x
    x = 337,673,723,409/364,912.50
  6. Step 6: Final answer
    x = 925,355.32

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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.