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Finding the Third Proportional to 307,432 and 673,184

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Solution

The third proportional to 307,432 and 673,184 is: 1,474,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,432 : 673,184 = 673,184 : x
  2. Step 2: Convert to fraction form
    307,432/673,184 = 673,184/x
  3. Step 3: Cross multiply
    307,432x = 673,184 × 673,184
  4. Step 4: Simplify right side
    307,432x = 453,176,697,856
  5. Step 5: Solve for x
    x = 453,176,697,856/307,432
  6. Step 6: Final answer
    x = 1,474,071.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.