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Finding the Third Proportional to 232,969.50 and 509,557.50

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Solution

The third proportional to 232,969.50 and 509,557.50 is: 1,114,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,969.50 : 509,557.50 = 509,557.50 : x
  2. Step 2: Convert to fraction form
    232,969.50/509,557.50 = 509,557.50/x
  3. Step 3: Cross multiply
    232,969.50x = 509,557.50 × 509,557.50
  4. Step 4: Simplify right side
    232,969.50x = 259,648,845,806.25
  5. Step 5: Solve for x
    x = 259,648,845,806.25/232,969.50
  6. Step 6: Final answer
    x = 1,114,518.62

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Why These Related Problems?

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