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Finding the Third Proportional to 332,557.50 and 727,225.50

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Solution

The third proportional to 332,557.50 and 727,225.50 is: 1,590,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,557.50 : 727,225.50 = 727,225.50 : x
  2. Step 2: Convert to fraction form
    332,557.50/727,225.50 = 727,225.50/x
  3. Step 3: Cross multiply
    332,557.50x = 727,225.50 × 727,225.50
  4. Step 4: Simplify right side
    332,557.50x = 528,856,927,850.25
  5. Step 5: Solve for x
    x = 528,856,927,850.25/332,557.50
  6. Step 6: Final answer
    x = 1,590,272.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.