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Finding the Third Proportional to 305,906 and 466,635

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Solution

The third proportional to 305,906 and 466,635 is: 711,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,906 : 466,635 = 466,635 : x
  2. Step 2: Convert to fraction form
    305,906/466,635 = 466,635/x
  3. Step 3: Cross multiply
    305,906x = 466,635 × 466,635
  4. Step 4: Simplify right side
    305,906x = 217,748,223,225
  5. Step 5: Solve for x
    x = 217,748,223,225/305,906
  6. Step 6: Final answer
    x = 711,814.16

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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.