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Finding the Third Proportional to 232,401 and 492,705

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Solution

The third proportional to 232,401 and 492,705 is: 1,044,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,401 : 492,705 = 492,705 : x
  2. Step 2: Convert to fraction form
    232,401/492,705 = 492,705/x
  3. Step 3: Cross multiply
    232,401x = 492,705 × 492,705
  4. Step 4: Simplify right side
    232,401x = 242,758,217,025
  5. Step 5: Solve for x
    x = 242,758,217,025/232,401
  6. Step 6: Final answer
    x = 1,044,566.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.