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Finding the Third Proportional to 294,948 and 451,017

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Solution

The third proportional to 294,948 and 451,017 is: 689,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,948 : 451,017 = 451,017 : x
  2. Step 2: Convert to fraction form
    294,948/451,017 = 451,017/x
  3. Step 3: Cross multiply
    294,948x = 451,017 × 451,017
  4. Step 4: Simplify right side
    294,948x = 203,416,334,289
  5. Step 5: Solve for x
    x = 203,416,334,289/294,948
  6. Step 6: Final answer
    x = 689,668.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.