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Finding the Third Proportional to 211,597.75 and 456,410.75

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Solution

The third proportional to 211,597.75 and 456,410.75 is: 984,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,597.75 : 456,410.75 = 456,410.75 : x
  2. Step 2: Convert to fraction form
    211,597.75/456,410.75 = 456,410.75/x
  3. Step 3: Cross multiply
    211,597.75x = 456,410.75 × 456,410.75
  4. Step 4: Simplify right side
    211,597.75x = 208,310,772,715.56
  5. Step 5: Solve for x
    x = 208,310,772,715.56/211,597.75
  6. Step 6: Final answer
    x = 984,465.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.