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Finding the Third Proportional to 212,450.63 and 458,833.50

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Solution

The third proportional to 212,450.63 and 458,833.50 is: 990,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,450.63 : 458,833.50 = 458,833.50 : x
  2. Step 2: Convert to fraction form
    212,450.63/458,833.50 = 458,833.50/x
  3. Step 3: Cross multiply
    212,450.63x = 458,833.50 × 458,833.50
  4. Step 4: Simplify right side
    212,450.63x = 210,528,180,722.25
  5. Step 5: Solve for x
    x = 210,528,180,722.25/212,450.63
  6. Step 6: Final answer
    x = 990,951.10

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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.