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Finding the Third Proportional to 292,769.25 and 436,717.50

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Solution

The third proportional to 292,769.25 and 436,717.50 is: 651,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,769.25 : 436,717.50 = 436,717.50 : x
  2. Step 2: Convert to fraction form
    292,769.25/436,717.50 = 436,717.50/x
  3. Step 3: Cross multiply
    292,769.25x = 436,717.50 × 436,717.50
  4. Step 4: Simplify right side
    292,769.25x = 190,722,174,806.25
  5. Step 5: Solve for x
    x = 190,722,174,806.25/292,769.25
  6. Step 6: Final answer
    x = 651,441.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.