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Finding the Third Proportional to 295,628 and 450,826

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Solution

The third proportional to 295,628 and 450,826 is: 687,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,628 : 450,826 = 450,826 : x
  2. Step 2: Convert to fraction form
    295,628/450,826 = 450,826/x
  3. Step 3: Cross multiply
    295,628x = 450,826 × 450,826
  4. Step 4: Simplify right side
    295,628x = 203,244,082,276
  5. Step 5: Solve for x
    x = 203,244,082,276/295,628
  6. Step 6: Final answer
    x = 687,499.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.