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Finding the Third Proportional to 444,139.50 and 976,852.50

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Solution

The third proportional to 444,139.50 and 976,852.50 is: 2,148,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,139.50 : 976,852.50 = 976,852.50 : x
  2. Step 2: Convert to fraction form
    444,139.50/976,852.50 = 976,852.50/x
  3. Step 3: Cross multiply
    444,139.50x = 976,852.50 × 976,852.50
  4. Step 4: Simplify right side
    444,139.50x = 954,240,806,756.25
  5. Step 5: Solve for x
    x = 954,240,806,756.25/444,139.50
  6. Step 6: Final answer
    x = 2,148,515.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.