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Finding the Third Proportional to 185,409 and 439,222.50

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Solution

The third proportional to 185,409 and 439,222.50 is: 1,040,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,409 : 439,222.50 = 439,222.50 : x
  2. Step 2: Convert to fraction form
    185,409/439,222.50 = 439,222.50/x
  3. Step 3: Cross multiply
    185,409x = 439,222.50 × 439,222.50
  4. Step 4: Simplify right side
    185,409x = 192,916,404,506.25
  5. Step 5: Solve for x
    x = 192,916,404,506.25/185,409
  6. Step 6: Final answer
    x = 1,040,491.05

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.