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Finding the Third Proportional to 300,464.50 and 609,226

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Solution

The third proportional to 300,464.50 and 609,226 is: 1,235,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,464.50 : 609,226 = 609,226 : x
  2. Step 2: Convert to fraction form
    300,464.50/609,226 = 609,226/x
  3. Step 3: Cross multiply
    300,464.50x = 609,226 × 609,226
  4. Step 4: Simplify right side
    300,464.50x = 371,156,319,076
  5. Step 5: Solve for x
    x = 371,156,319,076/300,464.50
  6. Step 6: Final answer
    x = 1,235,275.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.