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Finding the Third Proportional to 212,244.75 and 462,397.50

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Solution

The third proportional to 212,244.75 and 462,397.50 is: 1,007,381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,244.75 : 462,397.50 = 462,397.50 : x
  2. Step 2: Convert to fraction form
    212,244.75/462,397.50 = 462,397.50/x
  3. Step 3: Cross multiply
    212,244.75x = 462,397.50 × 462,397.50
  4. Step 4: Simplify right side
    212,244.75x = 213,811,448,006.25
  5. Step 5: Solve for x
    x = 213,811,448,006.25/212,244.75
  6. Step 6: Final answer
    x = 1,007,381.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.