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Finding the Third Proportional to 211,595.10 and 456,405.26

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Solution

The third proportional to 211,595.10 and 456,405.26 is: 984,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,595.10 : 456,405.26 = 456,405.26 : x
  2. Step 2: Convert to fraction form
    211,595.10/456,405.26 = 456,405.26/x
  3. Step 3: Cross multiply
    211,595.10x = 456,405.26 × 456,405.26
  4. Step 4: Simplify right side
    211,595.10x = 208,305,759,358.90
  5. Step 5: Solve for x
    x = 208,305,759,358.90/211,595.10
  6. Step 6: Final answer
    x = 984,454.56

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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.