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Finding the Third Proportional to 212,466.38 and 456,509.25

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Solution

The third proportional to 212,466.38 and 456,509.25 is: 980,864.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,466.38 : 456,509.25 = 456,509.25 : x
  2. Step 2: Convert to fraction form
    212,466.38/456,509.25 = 456,509.25/x
  3. Step 3: Cross multiply
    212,466.38x = 456,509.25 × 456,509.25
  4. Step 4: Simplify right side
    212,466.38x = 208,400,695,335.56
  5. Step 5: Solve for x
    x = 208,400,695,335.56/212,466.38
  6. Step 6: Final answer
    x = 980,864.36

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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.