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Finding the Third Proportional to 450,096.75 and 977,467.50

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Solution

The third proportional to 450,096.75 and 977,467.50 is: 2,122,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,096.75 : 977,467.50 = 977,467.50 : x
  2. Step 2: Convert to fraction form
    450,096.75/977,467.50 = 977,467.50/x
  3. Step 3: Cross multiply
    450,096.75x = 977,467.50 × 977,467.50
  4. Step 4: Simplify right side
    450,096.75x = 955,442,713,556.25
  5. Step 5: Solve for x
    x = 955,442,713,556.25/450,096.75
  6. Step 6: Final answer
    x = 2,122,749.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.