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Finding the Third Proportional to 455,458.50 and 973,968.75

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Solution

The third proportional to 455,458.50 and 973,968.75 is: 2,082,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,458.50 : 973,968.75 = 973,968.75 : x
  2. Step 2: Convert to fraction form
    455,458.50/973,968.75 = 973,968.75/x
  3. Step 3: Cross multiply
    455,458.50x = 973,968.75 × 973,968.75
  4. Step 4: Simplify right side
    455,458.50x = 948,615,125,976.56
  5. Step 5: Solve for x
    x = 948,615,125,976.56/455,458.50
  6. Step 6: Final answer
    x = 2,082,769.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.