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Finding the Third Proportional to 306,492 and 460,152

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Solution

The third proportional to 306,492 and 460,152 is: 690,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,492 : 460,152 = 460,152 : x
  2. Step 2: Convert to fraction form
    306,492/460,152 = 460,152/x
  3. Step 3: Cross multiply
    306,492x = 460,152 × 460,152
  4. Step 4: Simplify right side
    306,492x = 211,739,863,104
  5. Step 5: Solve for x
    x = 211,739,863,104/306,492
  6. Step 6: Final answer
    x = 690,849.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.