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Finding the Third Proportional to 265,225.50 and 542,706.75

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Solution

The third proportional to 265,225.50 and 542,706.75 is: 1,110,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,225.50 : 542,706.75 = 542,706.75 : x
  2. Step 2: Convert to fraction form
    265,225.50/542,706.75 = 542,706.75/x
  3. Step 3: Cross multiply
    265,225.50x = 542,706.75 × 542,706.75
  4. Step 4: Simplify right side
    265,225.50x = 294,530,616,495.56
  5. Step 5: Solve for x
    x = 294,530,616,495.56/265,225.50
  6. Step 6: Final answer
    x = 1,110,491.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.