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Finding the Third Proportional to 211,522.50 and 464,908.50

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Solution

The third proportional to 211,522.50 and 464,908.50 is: 1,021,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,522.50 : 464,908.50 = 464,908.50 : x
  2. Step 2: Convert to fraction form
    211,522.50/464,908.50 = 464,908.50/x
  3. Step 3: Cross multiply
    211,522.50x = 464,908.50 × 464,908.50
  4. Step 4: Simplify right side
    211,522.50x = 216,139,913,372.25
  5. Step 5: Solve for x
    x = 216,139,913,372.25/211,522.50
  6. Step 6: Final answer
    x = 1,021,829.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.