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Finding the Third Proportional to 444,695.06 and 977,953.50

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Solution

The third proportional to 444,695.06 and 977,953.50 is: 2,150,671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,695.06 : 977,953.50 = 977,953.50 : x
  2. Step 2: Convert to fraction form
    444,695.06/977,953.50 = 977,953.50/x
  3. Step 3: Cross multiply
    444,695.06x = 977,953.50 × 977,953.50
  4. Step 4: Simplify right side
    444,695.06x = 956,393,048,162.25
  5. Step 5: Solve for x
    x = 956,393,048,162.25/444,695.06
  6. Step 6: Final answer
    x = 2,150,671.61

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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.