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Finding the Third Proportional to 211,774.50 and 463,461.75

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Solution

The third proportional to 211,774.50 and 463,461.75 is: 1,014,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,774.50 : 463,461.75 = 463,461.75 : x
  2. Step 2: Convert to fraction form
    211,774.50/463,461.75 = 463,461.75/x
  3. Step 3: Cross multiply
    211,774.50x = 463,461.75 × 463,461.75
  4. Step 4: Simplify right side
    211,774.50x = 214,796,793,713.06
  5. Step 5: Solve for x
    x = 214,796,793,713.06/211,774.50
  6. Step 6: Final answer
    x = 1,014,271.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.