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Finding the Third Proportional to 209,715.50 and 333,575.25

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Solution

The third proportional to 209,715.50 and 333,575.25 is: 530,587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,715.50 : 333,575.25 = 333,575.25 : x
  2. Step 2: Convert to fraction form
    209,715.50/333,575.25 = 333,575.25/x
  3. Step 3: Cross multiply
    209,715.50x = 333,575.25 × 333,575.25
  4. Step 4: Simplify right side
    209,715.50x = 111,272,447,412.56
  5. Step 5: Solve for x
    x = 111,272,447,412.56/209,715.50
  6. Step 6: Final answer
    x = 530,587.62

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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.