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Finding the Third Proportional to 438,211.50 and 660,201.50

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Solution

The third proportional to 438,211.50 and 660,201.50 is: 994,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,211.50 : 660,201.50 = 660,201.50 : x
  2. Step 2: Convert to fraction form
    438,211.50/660,201.50 = 660,201.50/x
  3. Step 3: Cross multiply
    438,211.50x = 660,201.50 × 660,201.50
  4. Step 4: Simplify right side
    438,211.50x = 435,866,020,602.25
  5. Step 5: Solve for x
    x = 435,866,020,602.25/438,211.50
  6. Step 6: Final answer
    x = 994,647.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.