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Finding the Third Proportional to 444,714.75 and 977,989.50

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Solution

The third proportional to 444,714.75 and 977,989.50 is: 2,150,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,714.75 : 977,989.50 = 977,989.50 : x
  2. Step 2: Convert to fraction form
    444,714.75/977,989.50 = 977,989.50/x
  3. Step 3: Cross multiply
    444,714.75x = 977,989.50 × 977,989.50
  4. Step 4: Simplify right side
    444,714.75x = 956,463,462,110.25
  5. Step 5: Solve for x
    x = 956,463,462,110.25/444,714.75
  6. Step 6: Final answer
    x = 2,150,734.74

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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.