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Finding the Third Proportional to 305,868 and 466,578

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Solution

The third proportional to 305,868 and 466,578 is: 711,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,868 : 466,578 = 466,578 : x
  2. Step 2: Convert to fraction form
    305,868/466,578 = 466,578/x
  3. Step 3: Cross multiply
    305,868x = 466,578 × 466,578
  4. Step 4: Simplify right side
    305,868x = 217,695,030,084
  5. Step 5: Solve for x
    x = 217,695,030,084/305,868
  6. Step 6: Final answer
    x = 711,728.69

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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.