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Finding the Third Proportional to 305,214 and 464,922

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Solution

The third proportional to 305,214 and 464,922 is: 708,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,214 : 464,922 = 464,922 : x
  2. Step 2: Convert to fraction form
    305,214/464,922 = 464,922/x
  3. Step 3: Cross multiply
    305,214x = 464,922 × 464,922
  4. Step 4: Simplify right side
    305,214x = 216,152,466,084
  5. Step 5: Solve for x
    x = 216,152,466,084/305,214
  6. Step 6: Final answer
    x = 708,199.71

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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.