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Finding the Third Proportional to 212,463 and 456,502.50

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Solution

The third proportional to 212,463 and 456,502.50 is: 980,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,463 : 456,502.50 = 456,502.50 : x
  2. Step 2: Convert to fraction form
    212,463/456,502.50 = 456,502.50/x
  3. Step 3: Cross multiply
    212,463x = 456,502.50 × 456,502.50
  4. Step 4: Simplify right side
    212,463x = 208,394,532,506.25
  5. Step 5: Solve for x
    x = 208,394,532,506.25/212,463
  6. Step 6: Final answer
    x = 980,850.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.